261314174487600 has 1440 divisors, whose sum is σ = 1050766530637824. Its totient is φ = 61930726502400.

The previous prime is 261314174487563. The next prime is 261314174487661. The reversal of 261314174487600 is 6784471413162.

261314174487600 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 14 + 17 + 4 + 4 + 8 + 7 + 600 = 666.

261314174487600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7716788269 + ... + 7716822131.

Almost surely, 2^{261314174487600} is an apocalyptic number.

261314174487600 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 261314174487600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525383265318912).

261314174487600 is an abundant number, since it is smaller than the sum of its proper divisors (789452356150224).

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

261314174487600 is a wasteful number, since it uses less digits than its factorization.

261314174487600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34137 (or 34114 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 261314174487600 in words is "two hundred sixty-one trillion, three hundred fourteen billion, one hundred seventy-four million, four hundred eighty-seven thousand, six hundred".