97591253760 has 2592 divisors, whose sum is σ = 491235010560. Its totient is φ = 18114969600.

The previous prime is 97591253743. The next prime is 97591253777. The reversal of 97591253760 is 6735219579.

97591253760 is a `hidden beast` number, since 97 + 5 + 9 + 12 + 537 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (97591253743) and next prime (97591253777).

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 = 97591253697 and 97591253706.

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, 3148104945 + ... + 3148104975.

It is an arithmetic number, because the mean of its divisors is an integer number (189519680).

Almost surely, 2^97591253760 is an apocalyptic number.

97591253760 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 97591253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245617505280).

97591253760 is an abundant number, since it is smaller than the sum of its proper divisors (393643756800).

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

97591253760 is a wasteful number, since it uses less digits than its factorization.

97591253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 97591253760 in words is "ninety-seven billion, five hundred ninety-one million, two hundred fifty-three thousand, seven hundred sixty".