10201688400 has 240 divisors, whose sum is σ = 33546495744. Its totient is φ = 2648893440.

The previous prime is 10201688311. The next prime is 10201688437. The reversal of 10201688400 is 488610201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15622474 + ... + 15623126.

Almost surely, 2^10201688400 is an apocalyptic number.

10201688400 is a gapful number since it is divisible by the number (10) 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 10201688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773247872).

10201688400 is an abundant number, since it is smaller than the sum of its proper divisors (23344807344).

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

10201688400 is a wasteful number, since it uses less digits than its factorization.

10201688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 10201688400 in words is "ten billion, two hundred one million, six hundred eighty-eight thousand, four hundred".