53775057600 has 840 divisors, whose sum is σ = 219240128448. Its totient is φ = 12818995200.

The previous prime is 53775057593. The next prime is 53775057601. The reversal of 53775057600 is 675057735.

53775057600 is a `hidden beast` number, since 5 + 3 + 7 + 75 + 0 + 576 + 0 + 0 = 666.

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 (53775057601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95514919 + ... + 95515481.

Almost surely, 2^53775057600 is an apocalyptic number.

53775057600 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 53775057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109620064224).

53775057600 is an abundant number, since it is smaller than the sum of its proper divisors (165465070848).

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

53775057600 is a wasteful number, since it uses less digits than its factorization.

53775057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 771750, while the sum is 45.

The spelling of 53775057600 in words is "fifty-three billion, seven hundred seventy-five million, fifty-seven thousand, six hundred".