261975168000 has 2816 divisors, whose sum is σ = 1287546624000. Its totient is φ = 52022476800.

The previous prime is 261975167969. The next prime is 261975168053. The reversal of 261975168000 is 861579162.

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 255 ways as a sum of consecutive naturals, for example, 15410303992 + ... + 15410304008.

Almost surely, 2^261975168000 is an apocalyptic number.

261975168000 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 261975168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643773312000).

261975168000 is an abundant number, since it is smaller than the sum of its proper divisors (1025571456000).

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

261975168000 is a wasteful number, since it uses less digits than its factorization.

261975168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 261975168000 in words is "two hundred sixty-one billion, nine hundred seventy-five million, one hundred sixty-eight thousand".