55199831232000 has 3840 divisors, whose sum is σ = 246470464880640. Its totient is φ = 10825629696000.

The previous prime is 55199831231999. The next prime is 55199831232031. The reversal of 55199831232000 is 23213899155.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 289004351905 + ... + 289004352095.

It is an arithmetic number, because the mean of its divisors is an integer number (64185016896).

Almost surely, 2^{55199831232000} is an apocalyptic number.

55199831232000 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 55199831232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123235232440320).

55199831232000 is an abundant number, since it is smaller than the sum of its proper divisors (191270633648640).

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

55199831232000 is a wasteful number, since it uses less digits than its factorization.

55199831232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 55199831232000 in words is "fifty-five trillion, one hundred ninety-nine billion, eight hundred thirty-one million, two hundred thirty-two thousand".