10138295059200 has 5184 divisors, whose sum is σ = 52737299596800. Its totient is φ = 1872809164800.

The previous prime is 10138295059163. The next prime is 10138295059231. The reversal of 10138295059200 is 295059283101.

10138295059200 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 8 + 2 + 9 + 50 + 592 + 0 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 30083961432 + ... + 30083961768.

It is an arithmetic number, because the mean of its divisors is an integer number (10173090200).

Almost surely, 2^{10138295059200} is an apocalyptic number.

10138295059200 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 10138295059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26368649798400).

10138295059200 is an abundant number, since it is smaller than the sum of its proper divisors (42599004537600).

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

10138295059200 is a wasteful number, since it uses less digits than its factorization.

10138295059200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 10138295059200 in words is "ten trillion, one hundred thirty-eight billion, two hundred ninety-five million, fifty-nine thousand, two hundred".