260819227970400 has 576 divisors, whose sum is σ = 937167675929856. Its totient is φ = 62479785984000.

The previous prime is 260819227970393. The next prime is 260819227970437. The reversal of 260819227970400 is 4079722918062.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 987307132 + ... + 987571268.

It is an arithmetic number, because the mean of its divisors is an integer number (1627027215156).

Almost surely, 2^{260819227970400} is an apocalyptic number.

260819227970400 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 260819227970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468583837964928).

260819227970400 is an abundant number, since it is smaller than the sum of its proper divisors (676348447959456).

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

260819227970400 is a wasteful number, since it uses less digits than its factorization.

260819227970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264615 (or 264602 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 57.

The spelling of 260819227970400 in words is "two hundred sixty trillion, eight hundred nineteen billion, two hundred twenty-seven million, nine hundred seventy thousand, four hundred".