55144098801792 has 4608 divisors, whose sum is σ = 242798585702400. Its totient is φ = 11996489318400.

The previous prime is 55144098801763. The next prime is 55144098801793. The reversal of 55144098801792 is 29710889044155.

55144098801792 is a `hidden beast` number, since 5 + 5 + 1 + 440 + 98 + 8 + 0 + 17 + 92 = 666.

It is a super-2 number, since 2×55144098801792² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (55144098801793) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 568495863888 + ... + 568495863984.

It is an arithmetic number, because the mean of its divisors is an integer number (52690665300).

Almost surely, 2^{55144098801792} is an apocalyptic number.

55144098801792 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 55144098801792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121399292851200).

55144098801792 is an abundant number, since it is smaller than the sum of its proper divisors (187654486900608).

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

55144098801792 is a wasteful number, since it uses less digits than its factorization.

55144098801792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 55144098801792 in words is "fifty-five trillion, one hundred forty-four billion, ninety-eight million, eight hundred one thousand, seven hundred ninety-two".