540177508416 has 672 divisors, whose sum is σ = 1830649282560. Its totient is φ = 139306438656.

The previous prime is 540177508361. The next prime is 540177508441. The reversal of 540177508416 is 614805771045.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×540177508416³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1289206255 + ... + 1289206673.

It is an arithmetic number, because the mean of its divisors is an integer number (2724180480).

Almost surely, 2^540177508416 is an apocalyptic number.

540177508416 is a gapful number since it is divisible by the number (56) 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 540177508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915324641280).

540177508416 is an abundant number, since it is smaller than the sum of its proper divisors (1290471774144).

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

540177508416 is a wasteful number, since it uses less digits than its factorization.

540177508416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 540177508416 in words is "five hundred forty billion, one hundred seventy-seven million, five hundred eight thousand, four hundred sixteen".