5045632166400 has 480 divisors, whose sum is σ = 19290272010240. Its totient is φ = 1138683985920.

The previous prime is 5045632166371. The next prime is 5045632166401. The reversal of 5045632166400 is 46612365405.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×5045632166400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5045632166401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21116397 + ... + 21354003.

It is an arithmetic number, because the mean of its divisors is an integer number (40188066688).

Almost surely, 2^{5045632166400} is an apocalyptic number.

5045632166400 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 5045632166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9645136005120).

5045632166400 is an abundant number, since it is smaller than the sum of its proper divisors (14244639843840).

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

5045632166400 is a wasteful number, since it uses less digits than its factorization.

5045632166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237724 (or 237703 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 5045632166400 in words is "five trillion, forty-five billion, six hundred thirty-two million, one hundred sixty-six thousand, four hundred".