5190279486336 has 1024 divisors, whose sum is σ = 18683136000000. Its totient is φ = 1385633931264.

The previous prime is 5190279486319. The next prime is 5190279486347. The reversal of 5190279486336 is 6336849720915.

5190279486336 is a `hidden beast` number, since 5 + 190 + 2 + 79 + 48 + 6 + 336 = 666.

It is a super-2 number, since 2×5190279486336² (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 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, 16373121250 + ... + 16373121566.

It is an arithmetic number, because the mean of its divisors is an integer number (18245250000).

It is a 1-persistent number, because it is pandigital, but 2⋅5190279486336 = 10380558972672 is not.

Almost surely, 2^{5190279486336} is an apocalyptic number.

5190279486336 is a gapful number since it is divisible by the number (56) 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 5190279486336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9341568000000).

5190279486336 is an abundant number, since it is smaller than the sum of its proper divisors (13492856513664).

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

5190279486336 is a wasteful number, since it uses less digits than its factorization.

5190279486336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 5190279486336 in words is "five trillion, one hundred ninety billion, two hundred seventy-nine million, four hundred eighty-six thousand, three hundred thirty-six".