97120926720 has 704 divisors, whose sum is σ = 361079009280. Its totient is φ = 24728371200.

The previous prime is 97120926719. The next prime is 97120926733. The reversal of 97120926720 is 2762902179.

It is a super-4 number, since 4×97120926720⁴ (a number of 45 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 561392554 + ... + 561392726.

It is an arithmetic number, because the mean of its divisors is an integer number (512896320).

Almost surely, 2^97120926720 is an apocalyptic number.

97120926720 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 97120926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180539504640).

97120926720 is an abundant number, since it is smaller than the sum of its proper divisors (263958082560).

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

97120926720 is a wasteful number, since it uses less digits than its factorization.

97120926720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 97120926720 in words is "ninety-seven billion, one hundred twenty million, nine hundred twenty-six thousand, seven hundred twenty".