70129581442560 has 1200 divisors, whose sum is σ = 271033820917200. Its totient is φ = 17283193896960.

The previous prime is 70129581442549. The next prime is 70129581442573. The reversal of 70129581442560 is 6524418592107.

70129581442560 is a `hidden beast` number, since 7 + 0 + 1 + 2 + 9 + 581 + 4 + 4 + 2 + 56 + 0 = 666.

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 = 70129581442497 and 70129581442506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6622865746 + ... + 6622876334.

It is an arithmetic number, because the mean of its divisors is an integer number (225861517431).

Almost surely, 2^{70129581442560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70129581442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135516910458600).

70129581442560 is an abundant number, since it is smaller than the sum of its proper divisors (200904239474640).

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

70129581442560 is a wasteful number, since it uses less digits than its factorization.

70129581442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10725 (or 10659 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 70129581442560 in words is "seventy trillion, one hundred twenty-nine billion, five hundred eighty-one million, four hundred forty-two thousand, five hundred sixty".