9901854900 has 432 divisors, whose sum is σ = 36862390656. Its totient is φ = 2176035840.

The previous prime is 9901854899. The next prime is 9901854953. The reversal of 9901854900 is 94581099.

9901854900 is a `hidden beast` number, since 9 + 90 + 18 + 549 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 24941502 + ... + 24941898.

It is an arithmetic number, because the mean of its divisors is an integer number (85329608).

Almost surely, 2^9901854900 is an apocalyptic number.

9901854900 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 9901854900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18431195328).

9901854900 is an abundant number, since it is smaller than the sum of its proper divisors (26960535756).

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

9901854900 is a wasteful number, since it uses less digits than its factorization.

9901854900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 9901854900 is about 99508.0644973059. The cubic root of 9901854900 is about 2147.3632648661.

The spelling of 9901854900 in words is "nine billion, nine hundred one million, eight hundred fifty-four thousand, nine hundred".