78518527200 has 288 divisors, whose sum is σ = 284393985120. Its totient is φ = 20907417600.

The previous prime is 78518527193. The next prime is 78518527247. The reversal of 78518527200 is 272581587.

78518527200 is a `hidden beast` number, since 78 + 51 + 8 + 527 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78518527200² (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 17212920 + ... + 17217480.

It is an arithmetic number, because the mean of its divisors is an integer number (987479115).

Almost surely, 2^78518527200 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 78518527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142196992560).

78518527200 is an abundant number, since it is smaller than the sum of its proper divisors (205875457920).

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

78518527200 is a wasteful number, since it uses less digits than its factorization.

78518527200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 78518527200 in words is "seventy-eight billion, five hundred eighteen million, five hundred twenty-seven thousand, two hundred".