5040191692800 has 2268 divisors, whose sum is σ = 21271395189408. Its totient is φ = 1182449664000.

The previous prime is 5040191692799. The next prime is 5040191692801. The reversal of 5040191692800 is 82961910405.

5040191692800 is a `hidden beast` number, since 5 + 0 + 401 + 9 + 169 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5040191692799) and next prime (5040191692801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040191692801) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 162586828785 + ... + 162586828815.

Almost surely, 2^{5040191692800} is an apocalyptic number.

5040191692800 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 5040191692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10635697594704).

5040191692800 is an abundant number, since it is smaller than the sum of its proper divisors (16231203496608).

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

5040191692800 is an frugal number, since it uses more digits than its factorization.

5040191692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 5040191692800 in words is "five trillion, forty billion, one hundred ninety-one million, six hundred ninety-two thousand, eight hundred".