5380357382400 has 1728 divisors, whose sum is σ = 24033857734656. Its totient is φ = 1023639552000.

The previous prime is 5380357382377. The next prime is 5380357382437. The reversal of 5380357382400 is 42837530835.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5380357382400.

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, 2517714132 + ... + 2517716268.

Almost surely, 2^{5380357382400} is an apocalyptic number.

5380357382400 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 5380357382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12016928867328).

5380357382400 is an abundant number, since it is smaller than the sum of its proper divisors (18653500352256).

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

5380357382400 is a wasteful number, since it uses less digits than its factorization.

5380357382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 5380357382400 in words is "five trillion, three hundred eighty billion, three hundred fifty-seven million, three hundred eighty-two thousand, four hundred".