10015273382400 has 4320 divisors, whose sum is σ = 46427162221440. Its totient is φ = 2119650508800.

The previous prime is 10015273382399. The next prime is 10015273382417. The reversal of 10015273382400 is 428337251001.

10015273382400 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 5 + 273 + 382 + 4 + 0 + 0 = 666.

10015273382400 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 (4320).

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 112531161556 + ... + 112531161644.

It is an arithmetic number, because the mean of its divisors is an integer number (10747028292).

Almost surely, 2^{10015273382400} is an apocalyptic number.

10015273382400 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 10015273382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23213581110720).

10015273382400 is an abundant number, since it is smaller than the sum of its proper divisors (36411888839040).

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

10015273382400 is a wasteful number, since it uses less digits than its factorization.

10015273382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10015273382400 in words is "ten trillion, fifteen billion, two hundred seventy-three million, three hundred eighty-two thousand, four hundred".