55533141427700 has 288 divisors, whose sum is σ = 137869825766400. Its totient is φ = 19289046712320.

The previous prime is 55533141427691. The next prime is 55533141427721. The reversal of 55533141427700 is 772414133555.

It is a super-4 number, since 4×55533141427700⁴ (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1178098532 + ... + 1178145668.

It is an arithmetic number, because the mean of its divisors is an integer number (478714672800).

Almost surely, 2^{55533141427700} is an apocalyptic number.

55533141427700 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 55533141427700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68934912883200).

55533141427700 is an abundant number, since it is smaller than the sum of its proper divisors (82336684338700).

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

55533141427700 is a wasteful number, since it uses less digits than its factorization.

55533141427700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48259 (or 48252 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 47.

The spelling of 55533141427700 in words is "fifty-five trillion, five hundred thirty-three billion, one hundred forty-one million, four hundred twenty-seven thousand, seven hundred".