10153148518656 has 2592 divisors, whose sum is σ = 39011675422720. Its totient is φ = 2607301509120.

The previous prime is 10153148518609. The next prime is 10153148518691. The reversal of 10153148518656 is 65681584135101.

10153148518656 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 31 + 48 + 518 + 6 + 56 = 666.

10153148518656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-3 number, since 3×10153148518656³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79946051265 + ... + 79946051391.

Almost surely, 2^{10153148518656} is an apocalyptic number.

10153148518656 is a gapful number since it is divisible by the number (16) 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 10153148518656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19505837711360).

10153148518656 is an abundant number, since it is smaller than the sum of its proper divisors (28858526904064).

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

10153148518656 is a wasteful number, since it uses less digits than its factorization.

10153148518656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 10153148518656 in words is "ten trillion, one hundred fifty-three billion, one hundred forty-eight million, five hundred eighteen thousand, six hundred fifty-six".