54415222114400 has 288 divisors, whose sum is σ = 152422274350080. Its totient is φ = 18582506680320.

The previous prime is 54415222114387. The next prime is 54415222114403. The reversal of 54415222114400 is 441122251445.

It is a happy number.

It is a super-2 number, since 2×54415222114400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54415222114403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4385135396 + ... + 4385147804.

It is an arithmetic number, because the mean of its divisors is an integer number (529244008160).

Almost surely, 2^{54415222114400} is an apocalyptic number.

54415222114400 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 54415222114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76211137175040).

54415222114400 is an abundant number, since it is smaller than the sum of its proper divisors (98007052235680).

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

54415222114400 is a wasteful number, since it uses less digits than its factorization.

54415222114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15486 (or 15473 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 35.

Adding to 54415222114400 its reverse (441122251445), we get a palindrome (54856344365845).

The spelling of 54415222114400 in words is "fifty-four trillion, four hundred fifteen billion, two hundred twenty-two million, one hundred fourteen thousand, four hundred".