78528139200 has 420 divisors, whose sum is σ = 329889166992. Its totient is φ = 17949081600.

The previous prime is 78528139199. The next prime is 78528139213. The reversal of 78528139200 is 293182587.

It is a happy number.

78528139200 is a `hidden beast` number, since 78 + 528 + 1 + 39 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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 59 ways as a sum of consecutive naturals, for example, 863920 + ... + 950480.

Almost surely, 2^78528139200 is an apocalyptic number.

78528139200 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 78528139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164944583496).

78528139200 is an abundant number, since it is smaller than the sum of its proper divisors (251361027792).

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

78528139200 is a wasteful number, since it uses less digits than its factorization.

78528139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86602 (or 86578 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 78528139200 in words is "seventy-eight billion, five hundred twenty-eight million, one hundred thirty-nine thousand, two hundred".