265648498920 has 768 divisors, whose sum is σ = 1035740160000. Its totient is φ = 57792227328.

The previous prime is 265648498849. The next prime is 265648498961. The reversal of 265648498920 is 29894846562.

265648498920 is a `hidden beast` number, since 2 + 6 + 56 + 4 + 8 + 498 + 92 + 0 = 666.

It is a Cunningham number, because it is equal to 515411²-1.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1334916981 + ... + 1334917179.

It is an arithmetic number, because the mean of its divisors is an integer number (1348620000).

Almost surely, 2^265648498920 is an apocalyptic number.

265648498920 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 265648498920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517870080000).

265648498920 is an abundant number, since it is smaller than the sum of its proper divisors (770091661080).

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

265648498920 is a wasteful number, since it uses less digits than its factorization.

265648498920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 265648498920 in words is "two hundred sixty-five billion, six hundred forty-eight million, four hundred ninety-eight thousand, nine hundred twenty".