261507630287680 has 336 divisors, whose sum is σ = 735955724700288. Its totient is φ = 86698650931200.

The previous prime is 261507630287671. The next prime is 261507630287689. The reversal of 261507630287680 is 86782036705162.

It is an interprime number because it is at equal distance from previous prime (261507630287671) and next prime (261507630287689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261507630287689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2748873715 + ... + 2748968845.

Almost surely, 2^{261507630287680} is an apocalyptic number.

261507630287680 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 261507630287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367977862350144).

261507630287680 is an abundant number, since it is smaller than the sum of its proper divisors (474448094412608).

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

261507630287680 is a wasteful number, since it uses less digits than its factorization.

261507630287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96494 (or 96453 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 261507630287680 in words is "two hundred sixty-one trillion, five hundred seven billion, six hundred thirty million, two hundred eighty-seven thousand, six hundred eighty".