54350552413000 has 256 divisors, whose sum is σ = 133758575121600. Its totient is φ = 20648046182400.

The previous prime is 54350552412973. The next prime is 54350552413043. The reversal of 54350552413000 is 31425505345.

It can be written as a sum of positive squares in 32 ways, for example, as 9410771019204 + 44939781393796 = 3067698^2 + 6703714^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386246656 + ... + 386387344.

Almost surely, 2^{54350552413000} is an apocalyptic number.

54350552413000 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 54350552413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66879287560800).

54350552413000 is an abundant number, since it is smaller than the sum of its proper divisors (79408022708600).

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

54350552413000 is a wasteful number, since it uses less digits than its factorization.

54350552413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140997 (or 140983 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 37.

Adding to 54350552413000 its reverse (31425505345), we get a palindrome (54381977918345).

The spelling of 54350552413000 in words is "fifty-four trillion, three hundred fifty billion, five hundred fifty-two million, four hundred thirteen thousand".