79951219200 has 360 divisors, whose sum is σ = 286886453568. Its totient is φ = 21263523840.

The previous prime is 79951219189. The next prime is 79951219219. The reversal of 79951219200 is 291215997.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60248937 + ... + 60250263.

Almost surely, 2^79951219200 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 79951219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143443226784).

79951219200 is an abundant number, since it is smaller than the sum of its proper divisors (206935234368).

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

79951219200 is a wasteful number, since it uses less digits than its factorization.

79951219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

It can be divided in two parts, 79951 and 219200, that added together give a triangular number (299151 = T₇₇₃).

The spelling of 79951219200 in words is "seventy-nine billion, nine hundred fifty-one million, two hundred nineteen thousand, two hundred".