260611136400 has 120 divisors (see below), whose sum is σ = 878762540320. Its totient is φ = 65838597120.

The previous prime is 260611136389. The next prime is 260611136411. The reversal of 260611136400 is 4631116062.

260611136400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260611136389) and next prime (260611136411).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 5692357 + ... + 5737956.

Almost surely, 2^260611136400 is an apocalyptic number.

260611136400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260611136400 is an abundant number, since it is smaller than the sum of its proper divisors (618151403920).

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

260611136400 is a wasteful number, since it uses less digits than its factorization.

260611136400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430353 (or 11430342 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 260611136400 in words is "two hundred sixty billion, six hundred eleven million, one hundred thirty-six thousand, four hundred".