5360918400 has 576 divisors, whose sum is σ = 20544778800. Its totient is φ = 1327104000.

The previous prime is 5360918399. The next prime is 5360918417. The reversal of 5360918400 is 48190635.

5360918400 is a `hidden beast` number, since 5 + 3 + 609 + 1 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 53078350 + ... + 53078450.

Almost surely, 2^5360918400 is an apocalyptic number.

5360918400 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 5360918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10272389400).

5360918400 is an abundant number, since it is smaller than the sum of its proper divisors (15183860400).

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

5360918400 is a wasteful number, since it uses less digits than its factorization.

5360918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5360918400 is about 73218.2927962678. The cubic root of 5360918400 is about 1750.1679729923.

The spelling of 5360918400 in words is "five billion, three hundred sixty million, nine hundred eighteen thousand, four hundred".