10153675200 has 168 divisors, whose sum is σ = 33416689072. Its totient is φ = 2699182080.

The previous prime is 10153675177. The next prime is 10153675211. The reversal of 10153675200 is 257635101.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1614462 + ... + 1620738.

Almost surely, 2^10153675200 is an apocalyptic number.

10153675200 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 10153675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16708344536).

10153675200 is an abundant number, since it is smaller than the sum of its proper divisors (23263013872).

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

10153675200 is a wasteful number, since it uses less digits than its factorization.

10153675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The spelling of 10153675200 in words is "ten billion, one hundred fifty-three million, six hundred seventy-five thousand, two hundred".