55029633120000 has 2880 divisors, whose sum is σ = 266901844070400. Its totient is φ = 10831656960000.

The previous prime is 55029633119983. The next prime is 55029633120029. The reversal of 55029633120000 is 2133692055.

55029633120000 is a `hidden beast` number, since 5 + 5 + 0 + 2 + 9 + 633 + 12 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6320155647 + ... + 6320164353.

Almost surely, 2^{55029633120000} is an apocalyptic number.

55029633120000 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 55029633120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133450922035200).

55029633120000 is an abundant number, since it is smaller than the sum of its proper divisors (211872210950400).

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

55029633120000 is a wasteful number, since it uses less digits than its factorization.

55029633120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 55029633120000 in words is "fifty-five trillion, twenty-nine billion, six hundred thirty-three million, one hundred twenty thousand".