261952574400 has 1260 divisors, whose sum is σ = 1110777778440. Its totient is φ = 60043161600.

The previous prime is 261952574399. The next prime is 261952574447. The reversal of 261952574400 is 4475259162.

261952574400 is a `hidden beast` number, since 2 + 6 + 19 + 525 + 74 + 40 + 0 = 666.

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 514641346 + ... + 514641854.

Almost surely, 2^261952574400 is an apocalyptic number.

261952574400 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 261952574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555388889220).

261952574400 is an abundant number, since it is smaller than the sum of its proper divisors (848825204040).

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

261952574400 is a wasteful number, since it uses less digits than its factorization.

261952574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 261952574400 in words is "two hundred sixty-one billion, nine hundred fifty-two million, five hundred seventy-four thousand, four hundred".