52022351154400 has 864 divisors, whose sum is σ = 151237109517984. Its totient is φ = 17412229120000.

The previous prime is 52022351154391. The next prime is 52022351154413. The reversal of 52022351154400 is 445115322025.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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, 39986433750 + ... + 39986435050.

It is an arithmetic number, because the mean of its divisors is an integer number (175042950831).

Almost surely, 2^{52022351154400} is an apocalyptic number.

52022351154400 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 52022351154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75618554758992).

52022351154400 is an abundant number, since it is smaller than the sum of its proper divisors (99214758363584).

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

52022351154400 is a wasteful number, since it uses less digits than its factorization.

52022351154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 52022351154400 its reverse (445115322025), we get a palindrome (52467466476425).

The spelling of 52022351154400 in words is "fifty-two trillion, twenty-two billion, three hundred fifty-one million, one hundred fifty-four thousand, four hundred".