53457861600 has 1008 divisors, whose sum is σ = 230232545424. Its totient is φ = 11943936000.

The previous prime is 53457861599. The next prime is 53457861601. The reversal of 53457861600 is 616875435.

53457861600 is a `hidden beast` number, since 5 + 34 + 5 + 7 + 8 + 6 + 1 + 600 = 666.

53457861600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53457861599) and next prime (53457861601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53457861601) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 83397280 + ... + 83397920.

It is an arithmetic number, because the mean of its divisors is an integer number (228405303).

Almost surely, 2^53457861600 is an apocalyptic number.

53457861600 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 53457861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115116272712).

53457861600 is an abundant number, since it is smaller than the sum of its proper divisors (176774683824).

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

53457861600 is a wasteful number, since it uses less digits than its factorization.

53457861600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 53457861600 in words is "fifty-three billion, four hundred fifty-seven million, eight hundred sixty-one thousand, six hundred".