5270918400 has 864 divisors, whose sum is σ = 21898598400. Its totient is φ = 1229414400.

The previous prime is 5270918381. The next prime is 5270918431. The reversal of 5270918400 is 48190725.

5270918400 is a `hidden beast` number, since 527 + 0 + 91 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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, 89337571 + ... + 89337629.

It is an arithmetic number, because the mean of its divisors is an integer number (25345600).

Almost surely, 2^5270918400 is an apocalyptic number.

5270918400 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 5270918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949299200).

5270918400 is an abundant number, since it is smaller than the sum of its proper divisors (16627680000).

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

5270918400 is a wasteful number, since it uses less digits than its factorization.

5270918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 5270918400 is about 72601.0909008949. The cubic root of 5270918400 is about 1740.3186099081.

The spelling of 5270918400 in words is "five billion, two hundred seventy million, nine hundred eighteen thousand, four hundred".