97976511360 has 2304 divisors, whose sum is σ = 469309800960. Its totient is φ = 19313344512.

The previous prime is 97976511341. The next prime is 97976511421. The reversal of 97976511360 is 6311567979.

It is a happy number.

97976511360 is a `hidden beast` number, since 9 + 7 + 97 + 6 + 511 + 36 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 97976511297 and 97976511306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2278523499 + ... + 2278523541.

It is an arithmetic number, because the mean of its divisors is an integer number (203693490).

Almost surely, 2^97976511360 is an apocalyptic number.

97976511360 is a gapful number since it is divisible by the number (90) 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 97976511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234654900480).

97976511360 is an abundant number, since it is smaller than the sum of its proper divisors (371333289600).

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

97976511360 is a wasteful number, since it uses less digits than its factorization.

97976511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 97976511360 in words is "ninety-seven billion, nine hundred seventy-six million, five hundred eleven thousand, three hundred sixty".