10153837512 has 512 divisors, whose sum is σ = 36771840000. Its totient is φ = 2523902976.

The previous prime is 10153837511. The next prime is 10153837553. The reversal of 10153837512 is 21573835101.

It is a happy number.

10153837512 is a `hidden beast` number, since 10 + 1 + 53 + 83 + 7 + 512 = 666.

10153837512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10153837511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26790939 + ... + 26791317.

It is an arithmetic number, because the mean of its divisors is an integer number (71820000).

Almost surely, 2^10153837512 is an apocalyptic number.

10153837512 is a gapful number since it is divisible by the number (12) 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 10153837512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920000).

10153837512 is an abundant number, since it is smaller than the sum of its proper divisors (26618002488).

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

10153837512 is a wasteful number, since it uses less digits than its factorization.

10153837512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10153837512 in words is "ten billion, one hundred fifty-three million, eight hundred thirty-seven thousand, five hundred twelve".