97133051473920 has 4992 divisors, whose sum is σ = 462640345251840. Its totient is φ = 18884159078400.

The previous prime is 97133051473907. The next prime is 97133051473979. The reversal of 97133051473920 is 2937415033179.

97133051473920 is a `hidden beast` number, since 9 + 7 + 1 + 3 + 30 + 51 + 473 + 92 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 764827176897 + ... + 764827177023.

Almost surely, 2^{97133051473920} is an apocalyptic number.

97133051473920 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 97133051473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231320172625920).

97133051473920 is an abundant number, since it is smaller than the sum of its proper divisors (365507293777920).

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

97133051473920 is a wasteful number, since it uses less digits than its factorization.

97133051473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 97133051473920 in words is "ninety-seven trillion, one hundred thirty-three billion, fifty-one million, four hundred seventy-three thousand, nine hundred twenty".