10205500157260 has 48 divisors (see below), whose sum is σ = 21691543910400. Its totient is φ = 4032685559744.

The previous prime is 10205500157249. The next prime is 10205500157327. The reversal of 10205500157260 is 6275100550201.

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 15 ways as a sum of consecutive naturals, for example, 20468811 + ... + 20961469.

It is an arithmetic number, because the mean of its divisors is an integer number (451907164800).

Almost surely, 2^{10205500157260} is an apocalyptic number.

10205500157260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10205500157260 is an abundant number, since it is smaller than the sum of its proper divisors (11486043753140).

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

10205500157260 is a wasteful number, since it uses less digits than its factorization.

10205500157260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505230 (or 505228 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 34.

The spelling of 10205500157260 in words is "ten trillion, two hundred five billion, five hundred million, one hundred fifty-seven thousand, two hundred sixty".