10153456272 has 200 divisors, whose sum is σ = 29869963200. Its totient is φ = 3329434368.

The previous prime is 10153456253. The next prime is 10153456289. The reversal of 10153456272 is 27265435101.

10153456272 is a `hidden beast` number, since 1 + 0 + 1 + 534 + 56 + 2 + 72 = 666.

It is a super-2 number, since 2×10153456272² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28282429 + ... + 28282787.

It is an arithmetic number, because the mean of its divisors is an integer number (149349816).

Almost surely, 2^10153456272 is an apocalyptic number.

10153456272 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 10153456272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14934981600).

10153456272 is an abundant number, since it is smaller than the sum of its proper divisors (19716506928).

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

10153456272 is a wasteful number, since it uses less digits than its factorization.

10153456272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10153456272 in words is "ten billion, one hundred fifty-three million, four hundred fifty-six thousand, two hundred seventy-two".