540726172560 has 1600 divisors, whose sum is σ = 2399564513280. Its totient is φ = 110048440320.

The previous prime is 540726172543. The next prime is 540726172577. The reversal of 540726172560 is 65271627045.

540726172560 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 2 + 617 + 25 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (540726172543) and next prime (540726172577).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 988530207 + ... + 988530753.

Almost surely, 2^540726172560 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 540726172560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199782256640).

540726172560 is an abundant number, since it is smaller than the sum of its proper divisors (1858838340720).

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

540726172560 is a wasteful number, since it uses less digits than its factorization.

540726172560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 540726172560 in words is "five hundred forty billion, seven hundred twenty-six million, one hundred seventy-two thousand, five hundred sixty".