78921216000 has 1040 divisors, whose sum is σ = 322832603808. Its totient is φ = 19021824000.

The previous prime is 78921215993. The next prime is 78921216001. The reversal of 78921216000 is 61212987.

78921216000 is a `hidden beast` number, since 7 + 8 + 9 + 21 + 21 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (78921216001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 456191914 + ... + 456192086.

Almost surely, 2^78921216000 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 78921216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161416301904).

78921216000 is an abundant number, since it is smaller than the sum of its proper divisors (243911387808).

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

78921216000 is a wasteful number, since it uses less digits than its factorization.

78921216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 78921216000 its reverse (61212987), we get a palindrome (78982428987).

The spelling of 78921216000 in words is "seventy-eight billion, nine hundred twenty-one million, two hundred sixteen thousand".