10183397253120 has 2016 divisors, whose sum is σ = 46021865385600. Its totient is φ = 2033845272576.

The previous prime is 10183397253091. The next prime is 10183397253149. The reversal of 10183397253120 is 2135279338101.

10183397253120 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 3 + 3 + 97 + 2 + 531 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10183397253091) and next prime (10183397253149).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×10183397253120² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8285920666 + ... + 8285921894.

Almost surely, 2^{10183397253120} is an apocalyptic number.

10183397253120 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 10183397253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23010932692800).

10183397253120 is an abundant number, since it is smaller than the sum of its proper divisors (35838468132480).

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

10183397253120 is a wasteful number, since it uses less digits than its factorization.

10183397253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10183397253120 in words is "ten trillion, one hundred eighty-three billion, three hundred ninety-seven million, two hundred fifty-three thousand, one hundred twenty".