78753190857120 has 960 divisors, whose sum is σ = 317319114663936. Its totient is φ = 18252991733760.

The previous prime is 78753190857037. The next prime is 78753190857127. The reversal of 78753190857120 is 2175809135787.

78753190857120 is a `hidden beast` number, since 7 + 8 + 7 + 5 + 31 + 9 + 0 + 8 + 571 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (78753190857127) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 193042797 + ... + 193450323.

Almost surely, 2^{78753190857120} 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 78753190857120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158659557331968).

78753190857120 is an abundant number, since it is smaller than the sum of its proper divisors (238565923806816).

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

78753190857120 is a wasteful number, since it uses less digits than its factorization.

78753190857120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407635 (or 407618 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 78753190857120 in words is "seventy-eight trillion, seven hundred fifty-three billion, one hundred ninety million, eight hundred fifty-seven thousand, one hundred twenty".