540987656192 has 48 divisors (see below), whose sum is σ = 1083218572800. Its totient is φ = 270116884480.

The previous prime is 540987656177. The next prime is 540987656207. The reversal of 540987656192 is 291656789045.

It is an interprime number because it is at equal distance from previous prime (540987656177) and next prime (540987656207).

It is a super-2 number, since 2×540987656192² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1288817 + ... + 1656207.

It is an arithmetic number, because the mean of its divisors is an integer number (22567053600).

Almost surely, 2^540987656192 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 540987656192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541609286400).

540987656192 is an abundant number, since it is smaller than the sum of its proper divisors (542230916608).

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

540987656192 is an equidigital number, since it uses as much as digits as its factorization.

540987656192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368132 (or 368112 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 62.

The spelling of 540987656192 in words is "five hundred forty billion, nine hundred eighty-seven million, six hundred fifty-six thousand, one hundred ninety-two".