5940157533120 has 448 divisors, whose sum is σ = 22222573223040. Its totient is φ = 1488555933696.

The previous prime is 5940157532989. The next prime is 5940157533131. The reversal of 5940157533120 is 213357510495.

5940157533120 is a `hidden beast` number, since 5 + 9 + 40 + 1 + 57 + 533 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95881674 + ... + 95943606.

Almost surely, 2^{5940157533120} 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 5940157533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11111286611520).

5940157533120 is an abundant number, since it is smaller than the sum of its proper divisors (16282415689920).

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

5940157533120 is a wasteful number, since it uses less digits than its factorization.

5940157533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62629 (or 62613 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 5940157533120 in words is "five trillion, nine hundred forty billion, one hundred fifty-seven million, five hundred thirty-three thousand, one hundred twenty".