97257494880000 has 5760 divisors, whose sum is σ = 482740473600000. Its totient is φ = 18728091648000.

The previous prime is 97257494879989. The next prime is 97257494880097. The reversal of 97257494880000 is 8849475279.

97257494880000 is a `hidden beast` number, since 97 + 2 + 57 + 494 + 8 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 97257494880000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 216609119776 + ... + 216609120224.

It is an arithmetic number, because the mean of its divisors is an integer number (83809110000).

Almost surely, 2^{97257494880000} is an apocalyptic number.

97257494880000 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 97257494880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241370236800000).

97257494880000 is an abundant number, since it is smaller than the sum of its proper divisors (385482978720000).

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

97257494880000 is a wasteful number, since it uses less digits than its factorization.

97257494880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 97257494880000 in words is "ninety-seven trillion, two hundred fifty-seven billion, four hundred ninety-four million, eight hundred eighty thousand".