5191632230400 has 4608 divisors, whose sum is σ = 26674292736000. Its totient is φ = 955514880000.

The previous prime is 5191632230371. The next prime is 5191632230413. The reversal of 5191632230400 is 40322361915.

5191632230400 is a `hidden beast` number, since 5 + 1 + 9 + 16 + 3 + 2 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34381670325 + ... + 34381670475.

It is an arithmetic number, because the mean of its divisors is an integer number (5788692000).

Almost surely, 2^{5191632230400} is an apocalyptic number.

5191632230400 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 5191632230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337146368000).

5191632230400 is an abundant number, since it is smaller than the sum of its proper divisors (21482660505600).

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

5191632230400 is a wasteful number, since it uses less digits than its factorization.

5191632230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 5191632230400 in words is "five trillion, one hundred ninety-one billion, six hundred thirty-two million, two hundred thirty thousand, four hundred".