255102481920 has 1280 divisors, whose sum is σ = 1013695119360. Its totient is φ = 53880422400.

The previous prime is 255102481897. The next prime is 255102481943. The reversal of 255102481920 is 29184201552.

It is an interprime number because it is at equal distance from previous prime (255102481897) and next prime (255102481943).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2008680897 + ... + 2008681023.

It is an arithmetic number, because the mean of its divisors is an integer number (791949312).

Almost surely, 2^255102481920 is an apocalyptic number.

255102481920 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 255102481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506847559680).

255102481920 is an abundant number, since it is smaller than the sum of its proper divisors (758592637440).

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

255102481920 is a wasteful number, since it uses less digits than its factorization.

255102481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 255102481920 in words is "two hundred fifty-five billion, one hundred two million, four hundred eighty-one thousand, nine hundred twenty".