540796953600 has 660 divisors, whose sum is σ = 2051671671588. Its totient is φ = 140673024000.

The previous prime is 540796953553. The next prime is 540796953611. The reversal of 540796953600 is 6359697045.

540796953600 is a `hidden beast` number, since 5 + 40 + 7 + 9 + 69 + 536 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 150941574144 + 389855379456 = 388512^2 + 624384^2 .

It is a super-2 number, since 2×540796953600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 85014420 + ... + 85020780.

Almost surely, 2^540796953600 is an apocalyptic number.

540796953600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540796953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025835835794).

540796953600 is an abundant number, since it is smaller than the sum of its proper divisors (1510874717988).

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

540796953600 is a wasteful number, since it uses less digits than its factorization.

540796953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

It can be divided in two parts, 5407969 and 53600, that added together give a square (5461569 = 2337²).

The spelling of 540796953600 in words is "five hundred forty billion, seven hundred ninety-six million, nine hundred fifty-three thousand, six hundred".