901006612560 has 160 divisors (see below), whose sum is σ = 3110261585280. Its totient is φ = 239742415872.

The previous prime is 901006612549. The next prime is 901006612591. The reversal of 901006612560 is 65216600109.

901006612560 is a `hidden beast` number, since 90 + 1 + 0 + 0 + 6 + 6 + 1 + 2 + 560 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530739 + ... + 1443501.

It is an arithmetic number, because the mean of its divisors is an integer number (19439134908).

Almost surely, 2^901006612560 is an apocalyptic number.

901006612560 is a gapful number since it is divisible by the number (90) 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 901006612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555130792640).

901006612560 is an abundant number, since it is smaller than the sum of its proper divisors (2209254972720).

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

901006612560 is a wasteful number, since it uses less digits than its factorization.

901006612560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913242 (or 913230 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 901006612560 in words is "nine hundred one billion, six million, six hundred twelve thousand, five hundred sixty".