260722862402688 has 576 divisors, whose sum is σ = 924322631731200. Its totient is φ = 70092419088384.

The previous prime is 260722862402659. The next prime is 260722862402699. The reversal of 260722862402688 is 886204268227062.

260722862402688 is a `hidden beast` number, since 2 + 6 + 0 + 72 + 2 + 86 + 2 + 402 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×260722862402688³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3991010281 + ... + 3991075607.

It is an arithmetic number, because the mean of its divisors is an integer number (1604726791200).

Almost surely, 2^{260722862402688} is an apocalyptic number.

260722862402688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260722862402688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462161315865600).

260722862402688 is an abundant number, since it is smaller than the sum of its proper divisors (663599769328512).

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

260722862402688 is a wasteful number, since it uses less digits than its factorization.

260722862402688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69537 (or 69515 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 260722862402688 in words is "two hundred sixty trillion, seven hundred twenty-two billion, eight hundred sixty-two million, four hundred two thousand, six hundred eighty-eight".