10877859385600 has 81 divisors (see below), whose sum is σ = 26925054737637. Its totient is φ = 4351038213120.

The previous prime is 10877859385583. The next prime is 10877859385609. The reversal of 10877859385600 is 658395877801.

The square root of 10877859385600 is 3298160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3916029378816 + 6961830006784 = 1978896^2 + 2638528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10877859385609) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 263832187 + ... + 263873413.

Almost surely, 2^{10877859385600} is an apocalyptic number.

10877859385600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10877859385600 is the 3298160-th square number.

It is an amenable number.

10877859385600 is an abundant number, since it is smaller than the sum of its proper divisors (16047195352037).

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

10877859385600 is an frugal number, since it uses more digits than its factorization.

10877859385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82480 (or 41234 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 67.

The spelling of 10877859385600 in words is "ten trillion, eight hundred seventy-seven billion, eight hundred fifty-nine million, three hundred eighty-five thousand, six hundred".