1295521920 has 768 divisors, whose sum is σ = 5865799680. Its totient is φ = 255467520.

The previous prime is 1295521919. The next prime is 1295521933. The reversal of 1295521920 is 291255921.

It is a happy number.

1295521920 is a `hidden beast` number, since 12 + 9 + 552 + 1 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10200897 + ... + 10201023.

It is an arithmetic number, because the mean of its divisors is an integer number (7637760).

Almost surely, 2^1295521920 is an apocalyptic number.

1295521920 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 1295521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932899840).

1295521920 is an abundant number, since it is smaller than the sum of its proper divisors (4570277760).

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

1295521920 is a wasteful number, since it uses less digits than its factorization.

1295521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1295521920 is about 35993.3593875315. The cubic root of 1295521920 is about 1090.1382760918.

The spelling of 1295521920 in words is "one billion, two hundred ninety-five million, five hundred twenty-one thousand, nine hundred twenty".