5119977687930 has 288 divisors, whose sum is σ = 15594120032400. Its totient is φ = 1162085750784.

The previous prime is 5119977687899. The next prime is 5119977687941. The reversal of 5119977687930 is 397867799115.

5119977687930 is a `hidden beast` number, since 511 + 9 + 9 + 7 + 7 + 6 + 8 + 79 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3132698223249 + 1987279464681 = 1769943^2 + 1409709^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 392840694 + ... + 392853726.

Almost surely, 2^{5119977687930} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5119977687930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7797060016200).

5119977687930 is an abundant number, since it is smaller than the sum of its proper divisors (10474142344470).

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

5119977687930 is a wasteful number, since it uses less digits than its factorization.

5119977687930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13678 (or 13668 counting only the distinct ones).

The product of its (nonzero) digits is 180033840, while the sum is 72.

The spelling of 5119977687930 in words is "five trillion, one hundred nineteen billion, nine hundred seventy-seven million, six hundred eighty-seven thousand, nine hundred thirty".