261148725153792 has 2496 divisors, whose sum is σ = 955565370998784. Its totient is φ = 69710543585280.

The previous prime is 261148725153731. The next prime is 261148725153863. The reversal of 261148725153792 is 297351527841162.

261148725153792 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 4 + 8 + 7 + 2 + 5 + 1 + 537 + 92 = 666.

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 191 ways as a sum of consecutive naturals, for example, 711576907593 + ... + 711576907959.

It is an arithmetic number, because the mean of its divisors is an integer number (382838690304).

Almost surely, 2^{261148725153792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261148725153792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477782685499392).

261148725153792 is an abundant number, since it is smaller than the sum of its proper divisors (694416645844992).

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

261148725153792 is an equidigital number, since it uses as much as digits as its factorization.

261148725153792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 520 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 261148725153792 in words is "two hundred sixty-one trillion, one hundred forty-eight billion, seven hundred twenty-five million, one hundred fifty-three thousand, seven hundred ninety-two".