53660880000 has 1800 divisors, whose sum is σ = 251363682405. Its totient is φ = 11321856000.

The previous prime is 53660879983. The next prime is 53660880047. The reversal of 53660880000 is 8806635.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 20923043904 + 32737836096 = 144648^2 + 180936^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=163800.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 4127759994 + ... + 4127760006.

Almost surely, 2^53660880000 is an apocalyptic number.

53660880000 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 53660880000

53660880000 is an abundant number, since it is smaller than the sum of its proper divisors (197702802405).

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

53660880000 is an equidigital number, since it uses as much as digits as its factorization.

53660880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 53660880000 in words is "fifty-three billion, six hundred sixty million, eight hundred eighty thousand".