261564636003000 has 512 divisors, whose sum is σ = 975144664166400. Its totient is φ = 57621709824000.

The previous prime is 261564636002987. The next prime is 261564636003037. The reversal of 261564636003000 is 300636465162.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8230257 + ... + 24307743.

It is an arithmetic number, because the mean of its divisors is an integer number (1904579422200).

Almost surely, 2^{261564636003000} is an apocalyptic number.

261564636003000 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 261564636003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487572332083200).

261564636003000 is an abundant number, since it is smaller than the sum of its proper divisors (713580028163400).

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

261564636003000 is a wasteful number, since it uses less digits than its factorization.

261564636003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16077568 (or 16077554 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 261564636003000 in words is "two hundred sixty-one trillion, five hundred sixty-four billion, six hundred thirty-six million, three thousand".