5485334400 has 1296 divisors, whose sum is σ = 25726601160. Its totient is φ = 1107025920.

The previous prime is 5485334357. The next prime is 5485334411. The reversal of 5485334400 is 44335845.

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 161 ways as a sum of consecutive naturals, for example, 238492789 + ... + 238492811.

Almost surely, 2^5485334400 is an apocalyptic number.

5485334400 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 5485334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863300580).

5485334400 is an abundant number, since it is smaller than the sum of its proper divisors (20241266760).

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

5485334400 is a wasteful number, since it uses less digits than its factorization.

5485334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5485334400 is about 74063.0434157279. The cubic root of 5485334400 is about 1763.6038414986.

It can be divided in two parts, 54853 and 34400, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 5485334400 in words is "five billion, four hundred eighty-five million, three hundred thirty-four thousand, four hundred".