79926981120 has 480 divisors, whose sum is σ = 330273504000. Its totient is φ = 18268250112.

The previous prime is 79926981107. The next prime is 79926981131. The reversal of 79926981120 is 2118962997.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3375081 + ... + 3398679.

It is an arithmetic number, because the mean of its divisors is an integer number (688069800).

Almost surely, 2^79926981120 is an apocalyptic number.

79926981120 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 79926981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165136752000).

79926981120 is an abundant number, since it is smaller than the sum of its proper divisors (250346522880).

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

79926981120 is a wasteful number, since it uses less digits than its factorization.

79926981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23645 (or 23616 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 79926981120 in words is "seventy-nine billion, nine hundred twenty-six million, nine hundred eighty-one thousand, one hundred twenty".