97137986400 has 2592 divisors, whose sum is σ = 488866210560. Its totient is φ = 18274222080.

The previous prime is 97137986359. The next prime is 97137986411. The reversal of 97137986400 is 468973179.

It is a happy number.

97137986400 is a `hidden beast` number, since 97 + 1 + 3 + 79 + 86 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 431 ways as a sum of consecutive naturals, for example, 5112525591 + ... + 5112525609.

Almost surely, 2^97137986400 is an apocalyptic number.

97137986400 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 97137986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244433105280).

97137986400 is an abundant number, since it is smaller than the sum of its proper divisors (391728224160).

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

97137986400 is a wasteful number, since it uses less digits than its factorization.

97137986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 97137986400 in words is "ninety-seven billion, one hundred thirty-seven million, nine hundred eighty-six thousand, four hundred".