5394912768000 has 1664 divisors, whose sum is σ = 22992967895040. Its totient is φ = 1222528204800.

The previous prime is 5394912767989. The next prime is 5394912768017. The reversal of 5394912768000 is 8672194935.

5394912768000 is a `hidden beast` number, since 5 + 3 + 9 + 491 + 2 + 76 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19063295859 + ... + 19063296141.

It is an arithmetic number, because the mean of its divisors is an integer number (13817889360).

It is a 1-persistent number, because it is pandigital, but 2⋅5394912768000 = 10789825536000 is not.

Almost surely, 2^{5394912768000} is an apocalyptic number.

5394912768000 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 5394912768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11496483947520).

5394912768000 is an abundant number, since it is smaller than the sum of its proper divisors (17598055127040).

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

5394912768000 is a wasteful number, since it uses less digits than its factorization.

5394912768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 5394912768000 in words is "five trillion, three hundred ninety-four billion, nine hundred twelve million, seven hundred sixty-eight thousand".