9875001600 has 540 divisors, whose sum is σ = 37445842896. Its totient is φ = 2566287360.

The previous prime is 9875001571. The next prime is 9875001607. The reversal of 9875001600 is 61005789.

9875001600 is a `hidden beast` number, since 98 + 7 + 500 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9875001607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22290979 + ... + 22291421.

Almost surely, 2^9875001600 is an apocalyptic number.

9875001600 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 9875001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722921448).

9875001600 is an abundant number, since it is smaller than the sum of its proper divisors (27570841296).

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

9875001600 is a wasteful number, since it uses less digits than its factorization.

9875001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 9875001600 is about 99373.0426222323. The cubic root of 9875001600 is about 2145.4203293839.

The spelling of 9875001600 in words is "nine billion, eight hundred seventy-five million, one thousand, six hundred".