5407138800 has 480 divisors, whose sum is σ = 22291509760. Its totient is φ = 1234517760.

The previous prime is 5407138799. The next prime is 5407138817. The reversal of 5407138800 is 88317045.

5407138800 is a `hidden beast` number, since 540 + 7 + 1 + 38 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 6123159 + ... + 6124041.

Almost surely, 2^5407138800 is an apocalyptic number.

5407138800 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 5407138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145754880).

5407138800 is an abundant number, since it is smaller than the sum of its proper divisors (16884370960).

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

5407138800 is an equidigital number, since it uses as much as digits as its factorization.

5407138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5407138800 is about 73533.2496221947. The cubic root of 5407138800 is about 1755.1834127838.

The spelling of 5407138800 in words is "five billion, four hundred seven million, one hundred thirty-eight thousand, eight hundred".