55112533632 has 384 divisors, whose sum is σ = 177768864000. Its totient is φ = 16277594112.

The previous prime is 55112533591. The next prime is 55112533661. The reversal of 55112533632 is 23633521155.

55112533632 is a `hidden beast` number, since 5 + 5 + 1 + 12 + 5 + 3 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×55112533632² (a number of 22 digits) contains 22 as substring.

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, 43774219 + ... + 43775477.

It is an arithmetic number, because the mean of its divisors is an integer number (462939750).

Almost surely, 2^55112533632 is an apocalyptic number.

55112533632 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 55112533632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88884432000).

55112533632 is an abundant number, since it is smaller than the sum of its proper divisors (122656330368).

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

55112533632 is a wasteful number, since it uses less digits than its factorization.

55112533632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1393 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The spelling of 55112533632 in words is "fifty-five billion, one hundred twelve million, five hundred thirty-three thousand, six hundred thirty-two".