10381015058400 has 1728 divisors, whose sum is σ = 47260025164800. Its totient is φ = 2149923409920.

The previous prime is 10381015058321. The next prime is 10381015058441. The reversal of 10381015058400 is 485051018301.

10381015058400 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 101 + 505 + 8 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1255409466 + ... + 1255417734.

It is an arithmetic number, because the mean of its divisors is an integer number (27349551600).

Almost surely, 2^{10381015058400} is an apocalyptic number.

10381015058400 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 10381015058400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23630012582400).

10381015058400 is an abundant number, since it is smaller than the sum of its proper divisors (36879010106400).

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

10381015058400 is a wasteful number, since it uses less digits than its factorization.

10381015058400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 10381015058400 in words is "ten trillion, three hundred eighty-one billion, fifteen million, fifty-eight thousand, four hundred".