53285918400 has 1008 divisors, whose sum is σ = 225450257760. Its totient is φ = 11766988800.

The previous prime is 53285918393. The next prime is 53285918407. The reversal of 53285918400 is 481958235.

53285918400 = T₁₇₂₄₉ + T₁₇₂₅₀ + ... + T₁₇₅₉₉.

53285918400 is a `hidden beast` number, since 53 + 2 + 8 + 591 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53285918393) and next prime (53285918407).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53285918407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 232689486 + ... + 232689714.

It is an arithmetic number, because the mean of its divisors is an integer number (223660970).

Almost surely, 2^53285918400 is an apocalyptic number.

53285918400 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 53285918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112725128880).

53285918400 is an abundant number, since it is smaller than the sum of its proper divisors (172164339360).

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

53285918400 is a wasteful number, since it uses less digits than its factorization.

53285918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 53285918400 in words is "fifty-three billion, two hundred eighty-five million, nine hundred eighteen thousand, four hundred".