10153689134400 has 1512 divisors, whose sum is σ = 42597869323776. Its totient is φ = 2287014912000.

The previous prime is 10153689134179. The next prime is 10153689134401. The reversal of 10153689134400 is 443198635101.

10153689134400 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 36 + 89 + 134 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153689134401) 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 215 ways as a sum of consecutive naturals, for example, 16727658897 + ... + 16727659503.

Almost surely, 2^{10153689134400} is an apocalyptic number.

10153689134400 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 10153689134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21298934661888).

10153689134400 is an abundant number, since it is smaller than the sum of its proper divisors (32444180189376).

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

10153689134400 is a wasteful number, since it uses less digits than its factorization.

10153689134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10153689134400 in words is "ten trillion, one hundred fifty-three billion, six hundred eighty-nine million, one hundred thirty-four thousand, four hundred".