70597441152 has 384 divisors, whose sum is σ = 251083722240. Its totient is φ = 18578571264.

The previous prime is 70597441129. The next prime is 70597441153. The reversal of 70597441152 is 25114479507.

70597441152 is a `hidden beast` number, since 7 + 0 + 59 + 7 + 441 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 70597441098 and 70597441107.

It is not an unprimeable number, because it can be changed into a prime (70597441153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6437658 + ... + 6448614.

It is an arithmetic number, because the mean of its divisors is an integer number (653863860).

Almost surely, 2^70597441152 is an apocalyptic number.

70597441152 is a gapful number since it is divisible by the number (72) 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 70597441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125541861120).

70597441152 is an abundant number, since it is smaller than the sum of its proper divisors (180486281088).

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

70597441152 is a wasteful number, since it uses less digits than its factorization.

70597441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11048 (or 11033 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 70597441152 in words is "seventy billion, five hundred ninety-seven million, four hundred forty-one thousand, one hundred fifty-two".