78121071648000 has 1152 divisors, whose sum is σ = 293352890288640. Its totient is φ = 20469517516800.

The previous prime is 78121071647987. The next prime is 78121071648019. The reversal of 78121071648000 is 84617012187.

78121071648000 is a `hidden beast` number, since 7 + 81 + 21 + 0 + 71 + 6 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×78121071648000² (a number of 29 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 26454814524 + ... + 26454817476.

Almost surely, 2^{78121071648000} 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 78121071648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146676445144320).

78121071648000 is an abundant number, since it is smaller than the sum of its proper divisors (215231818640640).

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

78121071648000 is a wasteful number, since it uses less digits than its factorization.

78121071648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 78121071648000 in words is "seventy-eight trillion, one hundred twenty-one billion, seventy-one million, six hundred forty-eight thousand".