10012346561600 has 84 divisors (see below), whose sum is σ = 24658690729764. Its totient is φ = 4001352468480.

The previous prime is 10012346561587. The next prime is 10012346561603. The reversal of 10012346561600 is 616564321001.

It can be written as a sum of positive squares in 6 ways, for example, as 3859684593664 + 6152661967936 = 1964608^2 + 2480456^2 .

It is not an unprimeable number, because it can be changed into a prime (10012346561603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1013927 + ... + 4588326.

It is an arithmetic number, because the mean of its divisors is an integer number (293555842021).

Almost surely, 2^{10012346561600} is an apocalyptic number.

10012346561600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012346561600 is an abundant number, since it is smaller than the sum of its proper divisors (14646344168164).

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

10012346561600 is a wasteful number, since it uses less digits than its factorization.

10012346561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603392 (or 5603377 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 10012346561600 in words is "ten trillion, twelve billion, three hundred forty-six million, five hundred sixty-one thousand, six hundred".