97880832000 has 1728 divisors, whose sum is σ = 447148447200. Its totient is φ = 21056716800.

The previous prime is 97880831977. The next prime is 97880832001. The reversal of 97880832000 is 23808879.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97880832001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5757695992 + ... + 5757696008.

Almost surely, 2^97880832000 is an apocalyptic number.

97880832000 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 97880832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223574223600).

97880832000 is an abundant number, since it is smaller than the sum of its proper divisors (349267615200).

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

97880832000 is a wasteful number, since it uses less digits than its factorization.

97880832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 97880832000 in words is "ninety-seven billion, eight hundred eighty million, eight hundred thirty-two thousand".