5400621388800 has 2112 divisors, whose sum is σ = 22895691724800. Its totient is φ = 1234678579200.

The previous prime is 5400621388781. The next prime is 5400621388807. The reversal of 5400621388800 is 88831260045.

5400621388800 is a `hidden beast` number, since 540 + 0 + 6 + 21 + 3 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×5400621388800² (a number of 26 digits) contains 22 as substring.

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 (5400621388807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15563750227 + ... + 15563750573.

Almost surely, 2^{5400621388800} is an apocalyptic number.

5400621388800 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 5400621388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11447845862400).

5400621388800 is an abundant number, since it is smaller than the sum of its proper divisors (17495070336000).

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

5400621388800 is a wasteful number, since it uses less digits than its factorization.

5400621388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 5400621388800 in words is "five trillion, four hundred billion, six hundred twenty-one million, three hundred eighty-eight thousand, eight hundred".