5106354422400 has 1152 divisors, whose sum is σ = 23449756262400. Its totient is φ = 1026819072000.

The previous prime is 5106354422359. The next prime is 5106354422501. The reversal of 5106354422400 is 42244536015.

5106354422400 is a `hidden beast` number, since 5 + 10 + 63 + 544 + 2 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68708461 + ... + 68782739.

It is an arithmetic number, because the mean of its divisors is an integer number (20355691200).

Almost surely, 2^{5106354422400} is an apocalyptic number.

5106354422400 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 5106354422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11724878131200).

5106354422400 is an abundant number, since it is smaller than the sum of its proper divisors (18343401840000).

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

5106354422400 is a wasteful number, since it uses less digits than its factorization.

5106354422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74358 (or 74338 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 5106354422400 its reverse (42244536015), we get a palindrome (5148598958415).

The spelling of 5106354422400 in words is "five trillion, one hundred six billion, three hundred fifty-four million, four hundred twenty-two thousand, four hundred".