10012795556400 has 720 divisors, whose sum is σ = 42918348258240. Its totient is φ = 2105052364800.

The previous prime is 10012795556383. The next prime is 10012795556431. The reversal of 10012795556400 is 465559721001.

It is a happy number.

10012795556400 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 7 + 95 + 556 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 143 ways as a sum of consecutive naturals, for example, 92001216 + ... + 92109984.

Almost surely, 2^{10012795556400} is an apocalyptic number.

10012795556400 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 10012795556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21459174129120).

10012795556400 is an abundant number, since it is smaller than the sum of its proper divisors (32905552701840).

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

10012795556400 is a wasteful number, since it uses less digits than its factorization.

10012795556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109094 (or 109080 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 10012795556400 in words is "ten trillion, twelve billion, seven hundred ninety-five million, five hundred fifty-six thousand, four hundred".