5389148390400 has 792 divisors, whose sum is σ = 19924008029640. Its totient is φ = 1390734213120.

The previous prime is 5389148390383. The next prime is 5389148390443. The reversal of 5389148390400 is 40938419835.

5389148390400 is a `hidden beast` number, since 5 + 3 + 8 + 9 + 148 + 3 + 90 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11498701824 + 5377649688576 = 107232^2 + 2318976^2 .

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, 1679383996 + ... + 1679387204.

It is an arithmetic number, because the mean of its divisors is an integer number (25156575795).

Almost surely, 2^{5389148390400} is an apocalyptic number.

5389148390400 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 5389148390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9962004014820).

5389148390400 is an abundant number, since it is smaller than the sum of its proper divisors (14534859639240).

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

5389148390400 is a wasteful number, since it uses less digits than its factorization.

5389148390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 5389148390400 in words is "five trillion, three hundred eighty-nine billion, one hundred forty-eight million, three hundred ninety thousand, four hundred".