5190768627408 has 1280 divisors, whose sum is σ = 20810508042240. Its totient is φ = 1199003959296.

The previous prime is 5190768627379. The next prime is 5190768627413. The reversal of 5190768627408 is 8047268670915.

5190768627408 is a `hidden beast` number, since 51 + 90 + 76 + 8 + 6 + 27 + 408 = 666.

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 255 ways as a sum of consecutive naturals, for example, 568722141 + ... + 568731267.

It is an arithmetic number, because the mean of its divisors is an integer number (16258209408).

Almost surely, 2^{5190768627408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5190768627408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10405254021120).

5190768627408 is an abundant number, since it is smaller than the sum of its proper divisors (15619739414832).

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

5190768627408 is a wasteful number, since it uses less digits than its factorization.

5190768627408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9241 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 5190768627408 in words is "five trillion, one hundred ninety billion, seven hundred sixty-eight million, six hundred twenty-seven thousand, four hundred eight".