260757634800 has 480 divisors, whose sum is σ = 959547460032. Its totient is φ = 59961507840.

The previous prime is 260757634793. The next prime is 260757634807. The reversal of 260757634800 is 8436757062.

It is an interprime number because it is at equal distance from previous prime (260757634793) and next prime (260757634807).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 260757634800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260757634807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36328812 + ... + 36335988.

Almost surely, 2^260757634800 is an apocalyptic number.

260757634800 is a gapful number since it is divisible by the number (20) 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 260757634800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479773730016).

260757634800 is an abundant number, since it is smaller than the sum of its proper divisors (698789825232).

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

260757634800 is a wasteful number, since it uses less digits than its factorization.

260757634800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7365 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 260757634800 in words is "two hundred sixty billion, seven hundred fifty-seven million, six hundred thirty-four thousand, eight hundred".