5901752591040 has 448 divisors, whose sum is σ = 20511755255808. Its totient is φ = 1431242342400.

The previous prime is 5901752591039. The next prime is 5901752591087. The reversal of 5901752591040 is 401952571095.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 342499225 + ... + 342516455.

Almost surely, 2^{5901752591040} 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 5901752591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10255877627904).

5901752591040 is an abundant number, since it is smaller than the sum of its proper divisors (14610002664768).

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

5901752591040 is a wasteful number, since it uses less digits than its factorization.

5901752591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17976 (or 17966 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 48.

The spelling of 5901752591040 in words is "five trillion, nine hundred one billion, seven hundred fifty-two million, five hundred ninety-one thousand, forty".