247913809920 has 1152 divisors, whose sum is σ = 1045170846720. Its totient is φ = 55180984320.

The previous prime is 247913809901. The next prime is 247913809937. The reversal of 247913809920 is 29908319742.

247913809920 is a `hidden beast` number, since 2 + 479 + 1 + 3 + 80 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×247913809920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748984155 + ... + 748984485.

It is an arithmetic number, because the mean of its divisors is an integer number (907266360).

Almost surely, 2^247913809920 is an apocalyptic number.

247913809920 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 247913809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522585423360).

247913809920 is an abundant number, since it is smaller than the sum of its proper divisors (797257036800).

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

247913809920 is an equidigital number, since it uses as much as digits as its factorization.

247913809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 247913809920 in words is "two hundred forty-seven billion, nine hundred thirteen million, eight hundred nine thousand, nine hundred twenty".