54001172405400 has 768 divisors, whose sum is σ = 192067249766400. Its totient is φ = 12431059200000.

The previous prime is 54001172405359. The next prime is 54001172405407. The reversal of 54001172405400 is 450427110045.

It is a Cunningham number, because it is equal to 7348549²-1.

It is a super-2 number, since 2×54001172405400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54001172405407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5379133581 + ... + 5379143619.

It is an arithmetic number, because the mean of its divisors is an integer number (250087564800).

Almost surely, 2^{54001172405400} is an apocalyptic number.

54001172405400 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 54001172405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96033624883200).

54001172405400 is an abundant number, since it is smaller than the sum of its proper divisors (138066077361000).

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

54001172405400 is a wasteful number, since it uses less digits than its factorization.

54001172405400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10592 (or 10583 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

Adding to 54001172405400 its reverse (450427110045), we get a palindrome (54451599515445).

The spelling of 54001172405400 in words is "fifty-four trillion, one billion, one hundred seventy-two million, four hundred five thousand, four hundred".