260174361164400 has 90 divisors (see below), whose sum is σ = 902877303908840. Its totient is φ = 69379829642880.

The previous prime is 260174361164381. The next prime is 260174361164423. The reversal of 260174361164400 is 4461163471062.

260174361164400 is a `hidden beast` number, since 2 + 6 + 0 + 17 + 436 + 1 + 164 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 36135324340 + ... + 36135331539.

Almost surely, 2^{260174361164400} is an apocalyptic number.

260174361164400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260174361164400 is an abundant number, since it is smaller than the sum of its proper divisors (642702942744440).

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

260174361164400 is a wasteful number, since it uses less digits than its factorization.

260174361164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72270655903 (or 72270655889 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 260174361164400 in words is "two hundred sixty trillion, one hundred seventy-four billion, three hundred sixty-one million, one hundred sixty-four thousand, four hundred".