901573635872 has 144 divisors (see below), whose sum is σ = 2257332912576. Its totient is φ = 345160051200.

The previous prime is 901573635839. The next prime is 901573635881. The reversal of 901573635872 is 278536375109.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2637347 + ... + 2959517.

It is an arithmetic number, because the mean of its divisors is an integer number (15675923004).

Almost surely, 2^901573635872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901573635872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128666456288).

901573635872 is an abundant number, since it is smaller than the sum of its proper divisors (1355759276704).

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

901573635872 is a wasteful number, since it uses less digits than its factorization.

901573635872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322263 (or 322224 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 56.

The spelling of 901573635872 in words is "nine hundred one billion, five hundred seventy-three million, six hundred thirty-five thousand, eight hundred seventy-two".