7972999211520 has 480 divisors, whose sum is σ = 31882812369408. Its totient is φ = 1803608653824.

The previous prime is 7972999211509. The next prime is 7972999211533. The reversal of 7972999211520 is 251129992797.

7972999211520 is a `hidden beast` number, since 7 + 9 + 7 + 2 + 9 + 9 + 92 + 11 + 520 = 666.

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 (63).

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, 15389337 + ... + 15898983.

Almost surely, 2^{7972999211520} is an apocalyptic number.

7972999211520 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 7972999211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15941406184704).

7972999211520 is an abundant number, since it is smaller than the sum of its proper divisors (23909813157888).

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

7972999211520 is a wasteful number, since it uses less digits than its factorization.

7972999211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509780 (or 509761 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 63.

The spelling of 7972999211520 in words is "seven trillion, nine hundred seventy-two billion, nine hundred ninety-nine million, two hundred eleven thousand, five hundred twenty".