5196408422400 has 1368 divisors, whose sum is σ = 20871840304224. Its totient is φ = 1274019840000.

The previous prime is 5196408422363. The next prime is 5196408422423. The reversal of 5196408422400 is 42248046915.

It is a happy number.

5196408422400 is a `hidden beast` number, since 5 + 19 + 6 + 408 + 4 + 224 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20702822275 + ... + 20702822525.

Almost surely, 2^{5196408422400} is an apocalyptic number.

5196408422400 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 5196408422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435920152112).

5196408422400 is an abundant number, since it is smaller than the sum of its proper divisors (15675431881824).

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

5196408422400 is an frugal number, since it uses more digits than its factorization.

5196408422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 5196408422400 in words is "five trillion, one hundred ninety-six billion, four hundred eight million, four hundred twenty-two thousand, four hundred".