10135512000 has 672 divisors, whose sum is σ = 39560601600. Its totient is φ = 2467584000.

The previous prime is 10135511989. The next prime is 10135512073. The reversal of 10135512000 is 21553101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42407881 + ... + 42408119.

Almost surely, 2^10135512000 is an apocalyptic number.

10135512000 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 10135512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19780300800).

10135512000 is an abundant number, since it is smaller than the sum of its proper divisors (29425089600).

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

10135512000 is a wasteful number, since it uses less digits than its factorization.

10135512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 10135512000 in words is "ten billion, one hundred thirty-five million, five hundred twelve thousand".