901368020800 has 84 divisors (see below), whose sum is σ = 2388538640236. Its totient is φ = 332812800000.

The previous prime is 901368020789. The next prime is 901368020809. The reversal of 901368020800 is 8020863109.

It can be written as a sum of positive squares in 6 ways, for example, as 706283776 + 900661737024 = 26576^2 + 949032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 901368020800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901368020809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21646701 + ... + 21688300.

Almost surely, 2^901368020800 is an apocalyptic number.

It is an amenable number.

901368020800 is an abundant number, since it is smaller than the sum of its proper divisors (1487170619436).

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

901368020800 is a wasteful number, since it uses less digits than its factorization.

901368020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43335036 (or 43335021 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

Adding to 901368020800 its reverse (8020863109), we get a palindrome (909388883909).

The spelling of 901368020800 in words is "nine hundred one billion, three hundred sixty-eight million, twenty thousand, eight hundred".