5540436720000 has 2560 divisors, whose sum is σ = 25567295846400. Its totient is φ = 1149603840000.

The previous prime is 5540436719969. The next prime is 5540436720017. The reversal of 5540436720000 is 276340455.

5540436720000 is a `hidden beast` number, since 5 + 540 + 43 + 6 + 72 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 13955759802 + ... + 13955760198.

It is an arithmetic number, because the mean of its divisors is an integer number (9987224940).

Almost surely, 2^{5540436720000} is an apocalyptic number.

5540436720000 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 5540436720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12783647923200).

5540436720000 is an abundant number, since it is smaller than the sum of its proper divisors (20026859126400).

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

5540436720000 is a wasteful number, since it uses less digits than its factorization.

5540436720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 5540436720000 in words is "five trillion, five hundred forty billion, four hundred thirty-six million, seven hundred twenty thousand".