9920102400 has 900 divisors, whose sum is σ = 41297429712. Its totient is φ = 2335703040.

The previous prime is 9920102399. The next prime is 9920102417. The reversal of 9920102400 is 42010299.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 431308789 + ... + 431308811.

Almost surely, 2^9920102400 is an apocalyptic number.

9920102400 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 9920102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20648714856).

9920102400 is an abundant number, since it is smaller than the sum of its proper divisors (31377327312).

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

9920102400 is a wasteful number, since it uses less digits than its factorization.

9920102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9920102400 is about 99599.7108429538. The cubic root of 9920102400 is about 2148.6815352399.

Adding to 9920102400 its reverse (42010299), we get a palindrome (9962112699).

The spelling of 9920102400 in words is "nine billion, nine hundred twenty million, one hundred two thousand, four hundred".