5515447142400 has 1152 divisors, whose sum is σ = 21239405591040. Its totient is φ = 1250238136320.

The previous prime is 5515447142393. The next prime is 5515447142437. The reversal of 5515447142400 is 42417445155.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1595441472 + ... + 1595444928.

It is an arithmetic number, because the mean of its divisors is an integer number (18436984020).

Almost surely, 2^{5515447142400} is an apocalyptic number.

5515447142400 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 5515447142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10619702795520).

5515447142400 is an abundant number, since it is smaller than the sum of its proper divisors (15723958448640).

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

5515447142400 is a wasteful number, since it uses less digits than its factorization.

5515447142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The spelling of 5515447142400 in words is "five trillion, five hundred fifteen billion, four hundred forty-seven million, one hundred forty-two thousand, four hundred".