97803455904000 has 5184 divisors, whose sum is σ = 464904813993984. Its totient is φ = 19670999040000.

The previous prime is 97803455903969. The next prime is 97803455904163. The reversal of 97803455904000 is 40955430879.

97803455904000 is a `hidden beast` number, since 9 + 7 + 8 + 0 + 3 + 4 + 5 + 590 + 40 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 770105951937 + ... + 770105952063.

It is an arithmetic number, because the mean of its divisors is an integer number (89680712576).

Almost surely, 2^{97803455904000} is an apocalyptic number.

97803455904000 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 97803455904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232452406996992).

97803455904000 is an abundant number, since it is smaller than the sum of its proper divisors (367101358089984).

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

97803455904000 is a wasteful number, since it uses less digits than its factorization.

97803455904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 97803455904000 in words is "ninety-seven trillion, eight hundred three billion, four hundred fifty-five million, nine hundred four thousand".