5215457432400 has 960 divisors, whose sum is σ = 18857864448000. Its totient is φ = 1225939968000.

The previous prime is 5215457432389. The next prime is 5215457432401. The reversal of 5215457432400 is 42347545125.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5215457432401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3124898766 + ... + 3124900434.

It is an arithmetic number, because the mean of its divisors is an integer number (19643608800).

Almost surely, 2^{5215457432400} is an apocalyptic number.

5215457432400 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 5215457432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9428932224000).

5215457432400 is an abundant number, since it is smaller than the sum of its proper divisors (13642407015600).

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

5215457432400 is a wasteful number, since it uses less digits than its factorization.

5215457432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 5215457432400 in words is "five trillion, two hundred fifteen billion, four hundred fifty-seven million, four hundred thirty-two thousand, four hundred".