540657237120 has 1024 divisors, whose sum is σ = 2376711106560. Its totient is φ = 100886446080.

The previous prime is 540657237101. The next prime is 540657237143. The reversal of 540657237120 is 21732756045.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71107239 + ... + 71114841.

It is an arithmetic number, because the mean of its divisors is an integer number (2321006940).

Almost surely, 2^540657237120 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 540657237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188355553280).

540657237120 is an abundant number, since it is smaller than the sum of its proper divisors (1836053869440).

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

540657237120 is a wasteful number, since it uses less digits than its factorization.

540657237120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7693 (or 7681 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

It can be divided in two parts, 540657 and 237120, that added together give a palindrome (777777).

The spelling of 540657237120 in words is "five hundred forty billion, six hundred fifty-seven million, two hundred thirty-seven thousand, one hundred twenty".