261875413800000 has 6048 divisors, whose sum is σ = 1331411200479360. Its totient is φ = 50164531200000.

The previous prime is 261875413799929. The next prime is 261875413800031. The reversal of 261875413800000 is 8314578162.

261875413800000 is a `hidden beast` number, since 26 + 1 + 8 + 7 + 541 + 3 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 863 ways as a sum of consecutive naturals, for example, 340540199616 + ... + 340540200384.

It is an arithmetic number, because the mean of its divisors is an integer number (220140740820).

Almost surely, 2^{261875413800000} is an apocalyptic number.

261875413800000 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 261875413800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665705600239680).

261875413800000 is an abundant number, since it is smaller than the sum of its proper divisors (1069535786679360).

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

261875413800000 is an equidigital number, since it uses as much as digits as its factorization.

261875413800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 261875413800000 in words is "two hundred sixty-one trillion, eight hundred seventy-five billion, four hundred thirteen million, eight hundred thousand".