5107619607552 has 1760 divisors, whose sum is σ = 20449038720000. Its totient is φ = 1255367393280.

The previous prime is 5107619607527. The next prime is 5107619607569. The reversal of 5107619607552 is 2557069167015.

5107619607552 is a `hidden beast` number, since 5 + 1 + 0 + 76 + 19 + 6 + 0 + 7 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5946006099 + ... + 5946006957.

It is an arithmetic number, because the mean of its divisors is an integer number (11618772000).

Almost surely, 2^{5107619607552} 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 5107619607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10224519360000).

5107619607552 is an abundant number, since it is smaller than the sum of its proper divisors (15341419112448).

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

5107619607552 is a wasteful number, since it uses less digits than its factorization.

5107619607552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 5107619607552 in words is "five trillion, one hundred seven billion, six hundred nineteen million, six hundred seven thousand, five hundred fifty-two".