247949112960 has 304 divisors, whose sum is σ = 889130021490. Its totient is φ = 66119763456.

The previous prime is 247949112953. The next prime is 247949112967. The reversal of 247949112960 is 69211949742.

247949112960 is a `hidden beast` number, since 2 + 4 + 79 + 491 + 1 + 29 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (247949112953) and next prime (247949112967).

It can be written as a sum of positive squares in only one way, i.e., 223154201664 + 24794911296 = 472392^2 + 157464^2 .

It is a super-2 number, since 2×247949112960² (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 junction number, because it is equal to n+sod(n) for n = 247949112897 and 247949112906.

It is not an unprimeable number, because it can be changed into a prime (247949112967) by changing a digit.

It is a polite number, since it can be written in 37 ways as a sum of consecutive naturals, for example, 49589822590 + ... + 49589822594.

Almost surely, 2^247949112960 is an apocalyptic number.

247949112960 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 247949112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444565010745).

247949112960 is an abundant number, since it is smaller than the sum of its proper divisors (641180908530).

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

247949112960 is an frugal number, since it uses more digits than its factorization.

247949112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 10 counting only the distinct ones).

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

The spelling of 247949112960 in words is "two hundred forty-seven billion, nine hundred forty-nine million, one hundred twelve thousand, nine hundred sixty".