78058105877520 has 120 divisors (see below), whose sum is σ = 262209891879000. Its totient is φ = 20810353225728.

The previous prime is 78058105877513. The next prime is 78058105877561. The reversal of 78058105877520 is 2577850185087.

78058105877520 is a `hidden beast` number, since 7 + 8 + 0 + 58 + 1 + 0 + 58 + 7 + 7 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16827355677456 + 61230750200064 = 4102116^2 + 7825008^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×78058105877520² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10472475 + ... + 16303034.

It is an arithmetic number, because the mean of its divisors is an integer number (2185082432325).

Almost surely, 2^{78058105877520} is an apocalyptic number.

It is an amenable number.

78058105877520 is an abundant number, since it is smaller than the sum of its proper divisors (184151786001480).

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

78058105877520 is a wasteful number, since it uses less digits than its factorization.

78058105877520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26779577 (or 26779568 counting only the distinct ones).

The product of its (nonzero) digits is 43904000, while the sum is 63.

The spelling of 78058105877520 in words is "seventy-eight trillion, fifty-eight billion, one hundred five million, eight hundred seventy-seven thousand, five hundred twenty".