5381330963400 has 1536 divisors, whose sum is σ = 23319650304000. Its totient is φ = 1112279040000.

The previous prime is 5381330963353. The next prime is 5381330963447. The reversal of 5381330963400 is 43690331835.

5381330963400 is a `hidden beast` number, since 5 + 3 + 8 + 1 + 3 + 3 + 0 + 9 + 634 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5381330963353) and next prime (5381330963447).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3008009706 + ... + 3008011494.

It is an arithmetic number, because the mean of its divisors is an integer number (15182064000).

Almost surely, 2^{5381330963400} is an apocalyptic number.

5381330963400 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 5381330963400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11659825152000).

5381330963400 is an abundant number, since it is smaller than the sum of its proper divisors (17938319340600).

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

5381330963400 is a wasteful number, since it uses less digits than its factorization.

5381330963400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 5381330963400 in words is "five trillion, three hundred eighty-one billion, three hundred thirty million, nine hundred sixty-three thousand, four hundred".