53505632232 has 192 divisors, whose sum is σ = 160268231760. Its totient is φ = 16024780800.

The previous prime is 53505632197. The next prime is 53505632249. The reversal of 53505632232 is 23223650535.

It can be written as a sum of positive squares in 8 ways, for example, as 805083876 + 52700548356 = 28374^2 + 229566^2 .

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 47 ways as a sum of consecutive naturals, for example, 5533482 + ... + 5543142.

Almost surely, 2^53505632232 is an apocalyptic number.

53505632232 is a gapful number since it is divisible by the number (52) 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 53505632232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80134115880).

53505632232 is an abundant number, since it is smaller than the sum of its proper divisors (106762599528).

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

53505632232 is a wasteful number, since it uses less digits than its factorization.

53505632232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9844 (or 9837 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 53505632232 in words is "fifty-three billion, five hundred five million, six hundred thirty-two thousand, two hundred thirty-two".