97873920000 has 800 divisors, whose sum is σ = 371587382100. Its totient is φ = 25657344000.

The previous prime is 97873919977. The next prime is 97873920047. The reversal of 97873920000 is 2937879.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1658879971 + ... + 1658880029.

Almost surely, 2^97873920000 is an apocalyptic number.

97873920000 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 97873920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185793691050).

97873920000 is an abundant number, since it is smaller than the sum of its proper divisors (273713462100).

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

97873920000 is an frugal number, since it uses more digits than its factorization.

97873920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 97873920000 in words is "ninety-seven billion, eight hundred seventy-three million, nine hundred twenty thousand".