55041631645000 has 960 divisors, whose sum is σ = 176568610458240. Its totient is φ = 15807052800000.

The previous prime is 55041631644983. The next prime is 55041631645009. The reversal of 55041631645000 is 54613614055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (55041631645009) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25470443920 + ... + 25470446080.

It is an arithmetic number, because the mean of its divisors is an integer number (183925635894).

Almost surely, 2^{55041631645000} is an apocalyptic number.

55041631645000 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 55041631645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88284305229120).

55041631645000 is an abundant number, since it is smaller than the sum of its proper divisors (121526978813240).

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

55041631645000 is a wasteful number, since it uses less digits than its factorization.

55041631645000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 55041631645000 in words is "fifty-five trillion, forty-one billion, six hundred thirty-one million, six hundred forty-five thousand".