261894614400 has 432 divisors, whose sum is σ = 948624948180. Its totient is φ = 68788684800.

The previous prime is 261894614383. The next prime is 261894614453. The reversal of 261894614400 is 4416498162.

261894614400 is a `hidden beast` number, since 2 + 6 + 189 + 4 + 61 + 4 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 791222235 + ... + 791222565.

Almost surely, 2^261894614400 is an apocalyptic number.

261894614400 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 261894614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474312474090).

261894614400 is an abundant number, since it is smaller than the sum of its proper divisors (686730333780).

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

261894614400 is an equidigital number, since it uses as much as digits as its factorization.

261894614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 261894614400 in words is "two hundred sixty-one billion, eight hundred ninety-four million, six hundred fourteen thousand, four hundred".