97572888106848 has 3072 divisors, whose sum is σ = 400924339200000. Its totient is φ = 22778041466880.

The previous prime is 97572888106801. The next prime is 97572888106849. The reversal of 97572888106848 is 84860188827579.

It is a super-2 number, since 2×97572888106848² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97572888106849) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 175175741386 + ... + 175175741942.

It is an arithmetic number, because the mean of its divisors is an integer number (130509225000).

Almost surely, 2^{97572888106848} is an apocalyptic number.

97572888106848 is a gapful number since it is divisible by the number (98) 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 97572888106848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200462169600000).

97572888106848 is an abundant number, since it is smaller than the sum of its proper divisors (303351451093152).

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

97572888106848 is a wasteful number, since it uses less digits than its factorization.

97572888106848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 3468165120, while the sum is 81.

The spelling of 97572888106848 in words is "ninety-seven trillion, five hundred seventy-two billion, eight hundred eighty-eight million, one hundred six thousand, eight hundred forty-eight".