97253375915520 has 4800 divisors, whose sum is σ = 427619508028416. Its totient is φ = 20921953812480.

The previous prime is 97253375915369. The next prime is 97253375915539. The reversal of 97253375915520 is 2551957335279.

97253375915520 is a `hidden beast` number, since 9 + 7 + 2 + 5 + 3 + 3 + 75 + 9 + 1 + 552 + 0 = 666.

97253375915520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1332238026204 + ... + 1332238026276.

Almost surely, 2^{97253375915520} is an apocalyptic number.

97253375915520 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 97253375915520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213809754014208).

97253375915520 is an abundant number, since it is smaller than the sum of its proper divisors (330366132112896).

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

97253375915520 is a wasteful number, since it uses less digits than its factorization.

97253375915520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 89302500, while the sum is 63.

The spelling of 97253375915520 in words is "ninety-seven trillion, two hundred fifty-three billion, three hundred seventy-five million, nine hundred fifteen thousand, five hundred twenty".