70881610252752 has 1280 divisors, whose sum is σ = 244968641003520. Its totient is φ = 19401634086912.

The previous prime is 70881610252721. The next prime is 70881610252763. The reversal of 70881610252752 is 25725201618807.

It is a happy number.

70881610252752 is a `hidden beast` number, since 7 + 0 + 8 + 8 + 1 + 6 + 102 + 527 + 5 + 2 = 666.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 120752317003 + ... + 120752317589.

It is an arithmetic number, because the mean of its divisors is an integer number (191381750784).

Almost surely, 2^{70881610252752} is an apocalyptic number.

70881610252752 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 70881610252752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122484320501760).

70881610252752 is an abundant number, since it is smaller than the sum of its proper divisors (174087030750768).

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

70881610252752 is a wasteful number, since it uses less digits than its factorization.

70881610252752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 70881610252752 in words is "seventy trillion, eight hundred eighty-one billion, six hundred ten million, two hundred fifty-two thousand, seven hundred fifty-two".