261772370496 has 1344 divisors, whose sum is σ = 1027223142400. Its totient is φ = 61809868800.

The previous prime is 261772370389. The next prime is 261772370513. The reversal of 261772370496 is 694073277162.

261772370496 is a `hidden beast` number, since 2 + 6 + 17 + 72 + 3 + 70 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1883254395 + ... + 1883254533.

Almost surely, 2^261772370496 is an apocalyptic number.

261772370496 is a gapful number since it is divisible by the number (26) 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 261772370496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513611571200).

261772370496 is an abundant number, since it is smaller than the sum of its proper divisors (765450771904).

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

261772370496 is a wasteful number, since it uses less digits than its factorization.

261772370496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 261772370496 in words is "two hundred sixty-one billion, seven hundred seventy-two million, three hundred seventy thousand, four hundred ninety-six".