261106564412400 has 240 divisors, whose sum is σ = 986734141544448. Its totient is φ = 57756290688000.

The previous prime is 261106564412399. The next prime is 261106564412443. The reversal of 261106564412400 is 4214465601162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501096291 + ... + 501617090.

Almost surely, 2^{261106564412400} is an apocalyptic number.

261106564412400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261106564412400 is an abundant number, since it is smaller than the sum of its proper divisors (725627577132048).

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

261106564412400 is a wasteful number, since it uses less digits than its factorization.

261106564412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002713440 (or 1002713429 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 261106564412400 in words is "two hundred sixty-one trillion, one hundred six billion, five hundred sixty-four million, four hundred twelve thousand, four hundred".