261471098250000 has 1680 divisors, whose sum is σ = 1002852663321600. Its totient is φ = 65767464000000.

The previous prime is 261471098249969. The next prime is 261471098250013. The reversal of 261471098250000 is 52890174162.

261471098250000 is a `hidden beast` number, since 2 + 6 + 1 + 47 + 10 + 98 + 2 + 500 + 0 + 0 = 666.

It is a super-2 number, since 2×261471098250000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 414375749685 + ... + 414375750315.

It is an arithmetic number, because the mean of its divisors is an integer number (596936109120).

Almost surely, 2^{261471098250000} is an apocalyptic number.

261471098250000 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 261471098250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501426331660800).

261471098250000 is an abundant number, since it is smaller than the sum of its proper divisors (741381565071600).

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

261471098250000 is an frugal number, since it uses more digits than its factorization.

261471098250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 261471098250000 in words is "two hundred sixty-one trillion, four hundred seventy-one billion, ninety-eight million, two hundred fifty thousand".