5368578264000 has 2240 divisors, whose sum is σ = 23796695949312. Its totient is φ = 1169012736000.

The previous prime is 5368578263999. The next prime is 5368578264019. The reversal of 5368578264000 is 4628758635.

5368578264000 is a `hidden beast` number, since 5 + 3 + 6 + 8 + 578 + 2 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 319 ways as a sum of consecutive naturals, for example, 10264967739 + ... + 10264968261.

Almost surely, 2^{5368578264000} is an apocalyptic number.

5368578264000 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 5368578264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11898347974656).

5368578264000 is an abundant number, since it is smaller than the sum of its proper divisors (18428117685312).

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

5368578264000 is a wasteful number, since it uses less digits than its factorization.

5368578264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 5368578264000 in words is "five trillion, three hundred sixty-eight billion, five hundred seventy-eight million, two hundred sixty-four thousand".