5005445512896 has 560 divisors, whose sum is σ = 15335912927808. Its totient is φ = 1613625753600.

The previous prime is 5005445512841. The next prime is 5005445512973. The reversal of 5005445512896 is 6982155445005.

5005445512896 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 4 + 4 + 551 + 2 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6475349566 + ... + 6475350338.

Almost surely, 2^{5005445512896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005445512896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667956463904).

5005445512896 is an abundant number, since it is smaller than the sum of its proper divisors (10330467414912).

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

5005445512896 is a wasteful number, since it uses less digits than its factorization.

5005445512896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 5005445512896 in words is "five trillion, five billion, four hundred forty-five million, five hundred twelve thousand, eight hundred ninety-six".