260977390128 has 1800 divisors, whose sum is σ = 1078962846720. Its totient is φ = 59391221760.

The previous prime is 260977390123. The next prime is 260977390181. The reversal of 260977390128 is 821093779062.

260977390128 is a `hidden beast` number, since 2 + 60 + 9 + 77 + 390 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260977390123) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 8418625473 + ... + 8418625503.

Almost surely, 2^260977390128 is an apocalyptic number.

260977390128 is a gapful number since it is divisible by the number (28) 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 260977390128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539481423360).

260977390128 is an abundant number, since it is smaller than the sum of its proper divisors (817985456592).

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

260977390128 is a wasteful number, since it uses less digits than its factorization.

260977390128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 260977390128 in words is "two hundred sixty billion, nine hundred seventy-seven million, three hundred ninety thousand, one hundred twenty-eight".