261319510400 has 768 divisors, whose sum is σ = 755867246400. Its totient is φ = 88562073600.

The previous prime is 261319510369. The next prime is 261319510421. The reversal of 261319510400 is 4015913162.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3900291167 + ... + 3900291233.

Almost surely, 2^261319510400 is an apocalyptic number.

261319510400 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 261319510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377933623200).

261319510400 is an abundant number, since it is smaller than the sum of its proper divisors (494547736000).

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

261319510400 is a wasteful number, since it uses less digits than its factorization.

261319510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 261319510400 in words is "two hundred sixty-one billion, three hundred nineteen million, five hundred ten thousand, four hundred".