10152633503600 has 240 divisors, whose sum is σ = 28479185120256. Its totient is φ = 3405663360000.

The previous prime is 10152633503561. The next prime is 10152633503629. The reversal of 10152633503600 is 630533625101.

10152633503600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10152633503600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434399915 + ... + 434423285.

Almost surely, 2^{10152633503600} is an apocalyptic number.

10152633503600 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 10152633503600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239592560128).

10152633503600 is an abundant number, since it is smaller than the sum of its proper divisors (18326551616656).

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

10152633503600 is a wasteful number, since it uses less digits than its factorization.

10152633503600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26744 (or 26733 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 10152633503600 in words is "ten trillion, one hundred fifty-two billion, six hundred thirty-three million, five hundred three thousand, six hundred".