70558881120 has 1152 divisors, whose sum is σ = 317328979968. Its totient is φ = 13868236800.

The previous prime is 70558881091. The next prime is 70558881139. The reversal of 70558881120 is 2118885507.

70558881120 is a `hidden beast` number, since 7 + 0 + 558 + 8 + 81 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123570435 + ... + 123571005.

It is an arithmetic number, because the mean of its divisors is an integer number (275459184).

Almost surely, 2^70558881120 is an apocalyptic number.

70558881120 is a gapful number since it is divisible by the number (70) 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 70558881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158664489984).

70558881120 is an abundant number, since it is smaller than the sum of its proper divisors (246770098848).

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

70558881120 is a wasteful number, since it uses less digits than its factorization.

70558881120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 70558881120 in words is "seventy billion, five hundred fifty-eight million, eight hundred eighty-one thousand, one hundred twenty".