261524729198880 has 960 divisors, whose sum is σ = 1137414662334720. Its totient is φ = 55249661952000.

The previous prime is 261524729198851. The next prime is 261524729198923. The reversal of 261524729198880 is 88891927425162.

261524729198880 is a `hidden beast` number, since 2 + 6 + 1 + 5 + 247 + 291 + 98 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 261524729198799 and 261524729198808.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68820580 + ... + 72521180.

It is an arithmetic number, because the mean of its divisors is an integer number (1184806939932).

Almost surely, 2^{261524729198880} is an apocalyptic number.

261524729198880 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 261524729198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568707331167360).

261524729198880 is an abundant number, since it is smaller than the sum of its proper divisors (875889933135840).

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

261524729198880 is a wasteful number, since it uses less digits than its factorization.

261524729198880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700695 (or 3700678 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 261524729198880 in words is "two hundred sixty-one trillion, five hundred twenty-four billion, seven hundred twenty-nine million, one hundred ninety-eight thousand, eight hundred eighty".