5005511942400 has 864 divisors, whose sum is σ = 18660525649920. Its totient is φ = 1312717086720.

The previous prime is 5005511942369. The next prime is 5005511942429. The reversal of 5005511942400 is 42491155005.

5005511942400 is a `hidden beast` number, since 50 + 0 + 5 + 511 + 94 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 3772050537 + ... + 3772051863.

Almost surely, 2^{5005511942400} is an apocalyptic number.

5005511942400 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 5005511942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9330262824960).

5005511942400 is an abundant number, since it is smaller than the sum of its proper divisors (13655013707520).

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

5005511942400 is a wasteful number, since it uses less digits than its factorization.

5005511942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 5005511942400 in words is "five trillion, five billion, five hundred eleven million, nine hundred forty-two thousand, four hundred".