247485998039040 has 1600 divisors, whose sum is σ = 950905730995200. Its totient is φ = 61642175938560.

The previous prime is 247485998039017. The next prime is 247485998039041. The reversal of 247485998039040 is 40930899584742.

247485998039040 is a `hidden beast` number, since 2 + 4 + 74 + 8 + 5 + 99 + 80 + 390 + 4 + 0 = 666.

It is a super-2 number, since 2×247485998039040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 247485998039040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247485998039041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3485718282205 + ... + 3485718282275.

It is an arithmetic number, because the mean of its divisors is an integer number (594316081872).

Almost surely, 2^{247485998039040} is an apocalyptic number.

247485998039040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247485998039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475452865497600).

247485998039040 is an abundant number, since it is smaller than the sum of its proper divisors (703419732956160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247485998039040 is an frugal number, since it uses more digits than its factorization.

247485998039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 247485998039040 in words is "two hundred forty-seven trillion, four hundred eighty-five billion, nine hundred ninety-eight million, thirty-nine thousand, forty".