5540449689600 has 672 divisors, whose sum is σ = 21423952112640. Its totient is φ = 1236896317440.

The previous prime is 5540449689521. The next prime is 5540449689659. The reversal of 5540449689600 is 69869440455.

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

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184919421 + ... + 184949379.

It is an arithmetic number, because the mean of its divisors is an integer number (31880881120).

Almost surely, 2^{5540449689600} is an apocalyptic number.

5540449689600 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 5540449689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10711976056320).

5540449689600 is an abundant number, since it is smaller than the sum of its proper divisors (15883502423040).

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

5540449689600 is a wasteful number, since it uses less digits than its factorization.

5540449689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30048 (or 30019 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 5540449689600 in words is "five trillion, five hundred forty billion, four hundred forty-nine million, six hundred eighty-nine thousand, six hundred".