97127838720 has 1056 divisors, whose sum is σ = 391414173696. Its totient is φ = 22892544000.

The previous prime is 97127838719. The next prime is 97127838749. The reversal of 97127838720 is 2783872179.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 643230645 + ... + 643230795.

Almost surely, 2^97127838720 is an apocalyptic number.

97127838720 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 97127838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195707086848).

97127838720 is an abundant number, since it is smaller than the sum of its proper divisors (294286334976).

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

97127838720 is a wasteful number, since it uses less digits than its factorization.

97127838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 97127838720 in words is "ninety-seven billion, one hundred twenty-seven million, eight hundred thirty-eight thousand, seven hundred twenty".