5293788079104 has 1056 divisors, whose sum is σ = 19267419924480. Its totient is φ = 1418079633408.

The previous prime is 5293788079091. The next prime is 5293788079117. The reversal of 5293788079104 is 4019708873925.

5293788079104 is a `hidden beast` number, since 529 + 37 + 8 + 8 + 0 + 79 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5293788079091) and next prime (5293788079117).

It is a super-2 number, since 2×5293788079104² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3408748792 + ... + 3408750344.

Almost surely, 2^{5293788079104} is an apocalyptic number.

5293788079104 is a gapful number since it is divisible by the number (54) 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 5293788079104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9633709962240).

5293788079104 is an abundant number, since it is smaller than the sum of its proper divisors (13973631845376).

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

5293788079104 is a wasteful number, since it uses less digits than its factorization.

5293788079104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 5293788079104 in words is "five trillion, two hundred ninety-three billion, seven hundred eighty-eight million, seventy-nine thousand, one hundred four".