75028978512000 has 1024 divisors, whose sum is σ = 283046602176000. Its totient is φ = 19527362150400.

The previous prime is 75028978511959. The next prime is 75028978512017. The reversal of 75028978512000 is 21587982057.

75028978512000 is a `hidden beast` number, since 7 + 50 + 2 + 8 + 9 + 78 + 512 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4418919511 + ... + 4418936489.

Almost surely, 2^{75028978512000} 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 75028978512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523301088000).

75028978512000 is an abundant number, since it is smaller than the sum of its proper divisors (208017623664000).

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

75028978512000 is a wasteful number, since it uses less digits than its factorization.

75028978512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17263 (or 17235 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 75028978512000 in words is "seventy-five trillion, twenty-eight billion, nine hundred seventy-eight million, five hundred twelve thousand".