78525504000 has 640 divisors, whose sum is σ = 300280780800. Its totient is φ = 20205158400.

The previous prime is 78525503989. The next prime is 78525504041. The reversal of 78525504000 is 40552587.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50111217 + ... + 50112783.

It is an arithmetic number, because the mean of its divisors is an integer number (469188720).

Almost surely, 2^78525504000 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 78525504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150140390400).

78525504000 is an abundant number, since it is smaller than the sum of its proper divisors (221755276800).

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

78525504000 is a wasteful number, since it uses less digits than its factorization.

78525504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 78525504000 in words is "seventy-eight billion, five hundred twenty-five million, five hundred four thousand".