5386264310700 has 1728 divisors, whose sum is σ = 23789517373440. Its totient is φ = 985733038080.

The previous prime is 5386264310633. The next prime is 5386264310731. The reversal of 5386264310700 is 70134626835.

5386264310700 is a `hidden beast` number, since 5 + 3 + 8 + 6 + 264 + 310 + 70 + 0 = 666.

It is a super-2 number, since 2×5386264310700² (a number of 26 digits) contains 22 as substring.

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 575 ways as a sum of consecutive naturals, for example, 978784149 + ... + 978789651.

Almost surely, 2^{5386264310700} is an apocalyptic number.

5386264310700 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 5386264310700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11894758686720).

5386264310700 is an abundant number, since it is smaller than the sum of its proper divisors (18403253062740).

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

5386264310700 is a wasteful number, since it uses less digits than its factorization.

5386264310700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5606 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 5386264310700 in words is "five trillion, three hundred eighty-six billion, two hundred sixty-four million, three hundred ten thousand, seven hundred".