78190361625600 has 2376 divisors, whose sum is σ = 350961420745728. Its totient is φ = 16235967283200.

The previous prime is 78190361625581. The next prime is 78190361625601. The reversal of 78190361625600 is 652616309187.

78190361625600 is a `hidden beast` number, since 7 + 8 + 1 + 9 + 0 + 3 + 6 + 1 + 6 + 25 + 600 = 666.

It is a super-2 number, since 2×78190361625600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78190361625601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23058199905 + ... + 23058203295.

Almost surely, 2^{78190361625600} is an apocalyptic number.

78190361625600 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 78190361625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175480710372864).

78190361625600 is an abundant number, since it is smaller than the sum of its proper divisors (272771059120128).

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

78190361625600 is a wasteful number, since it uses less digits than its factorization.

78190361625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 78190361625600 in words is "seventy-eight trillion, one hundred ninety billion, three hundred sixty-one million, six hundred twenty-five thousand, six hundred".