70252160896512 has 960 divisors, whose sum is σ = 267826862983680. Its totient is φ = 17896984805376.

The previous prime is 70252160896481. The next prime is 70252160896513. The reversal of 70252160896512 is 21569806125207.

70252160896512 is a `hidden beast` number, since 7 + 0 + 2 + 5 + 21 + 608 + 9 + 6 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×70252160896512² (a number of 28 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 not an unprimeable number, because it can be changed into a prime (70252160896513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281179708 + ... + 281429444.

It is an arithmetic number, because the mean of its divisors is an integer number (278986315608).

Almost surely, 2^{70252160896512} is an apocalyptic number.

70252160896512 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 70252160896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133913431491840).

70252160896512 is an abundant number, since it is smaller than the sum of its proper divisors (197574702087168).

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

70252160896512 is a wasteful number, since it uses less digits than its factorization.

70252160896512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249813 (or 249785 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 70252160896512 in words is "seventy trillion, two hundred fifty-two billion, one hundred sixty million, eight hundred ninety-six thousand, five hundred twelve".