5321468800032 has 1152 divisors, whose sum is σ = 18709997580288. Its totient is φ = 1296345600000.

The previous prime is 5321468799949. The next prime is 5321468800061. The reversal of 5321468800032 is 2300088641235.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35241515157 + ... + 35241515307.

It is an arithmetic number, because the mean of its divisors is an integer number (16241317344).

Almost surely, 2^{5321468800032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5321468800032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354998790144).

5321468800032 is an abundant number, since it is smaller than the sum of its proper divisors (13388528780256).

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

5321468800032 is a wasteful number, since it uses less digits than its factorization.

5321468800032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 5321468800032 in words is "five trillion, three hundred twenty-one billion, four hundred sixty-eight million, eight hundred thousand, thirty-two".