97292408490900 has 288 divisors, whose sum is σ = 357680146172160. Its totient is φ = 22224538944000.

The previous prime is 97292408490887. The next prime is 97292408490913. The reversal of 97292408490900 is 909480429279.

It is an interprime number because it is at equal distance from previous prime (97292408490887) and next prime (97292408490913).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29049070 + ... + 32224730.

Almost surely, 2^{97292408490900} is an apocalyptic number.

97292408490900 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 97292408490900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178840073086080).

97292408490900 is an abundant number, since it is smaller than the sum of its proper divisors (260387737681260).

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

97292408490900 is a wasteful number, since it uses less digits than its factorization.

97292408490900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177312 (or 3177299 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 97292408490900 in words is "ninety-seven trillion, two hundred ninety-two billion, four hundred eight million, four hundred ninety thousand, nine hundred".