151260410880 has 440 divisors, whose sum is σ = 543831484680. Its totient is φ = 40202403840.

The previous prime is 151260410849. The next prime is 151260410897. The reversal of 151260410880 is 88014062151.

151260410880 is a `hidden beast` number, since 1 + 512 + 60 + 4 + 1 + 0 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19996222464 + 131264188416 = 141408^2 + 362304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235975360 + ... + 235976000.

It is an arithmetic number, because the mean of its divisors is an integer number (1235980647).

Almost surely, 2^151260410880 is an apocalyptic number.

151260410880 is a gapful number since it is divisible by the number (10) 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 151260410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271915742340).

151260410880 is an abundant number, since it is smaller than the sum of its proper divisors (392571073800).

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

151260410880 is an equidigital number, since it uses as much as digits as its factorization.

151260410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 151260410880 in words is "one hundred fifty-one billion, two hundred sixty million, four hundred ten thousand, eight hundred eighty".