5149779178752 has 576 divisors, whose sum is σ = 17820488089600. Its totient is φ = 1452711075840.

The previous prime is 5149779178741. The next prime is 5149779178787. The reversal of 5149779178752 is 2578719779415.

5149779178752 is a `hidden beast` number, since 5 + 1 + 497 + 7 + 9 + 1 + 7 + 87 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52876533 + ... + 52973835.

Almost surely, 2^{5149779178752} is an apocalyptic number.

5149779178752 is a gapful number since it is divisible by the number (52) 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 5149779178752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910244044800).

5149779178752 is an abundant number, since it is smaller than the sum of its proper divisors (12670708910848).

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

5149779178752 is a wasteful number, since it uses less digits than its factorization.

5149779178752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97391 (or 97371 counting only the distinct ones).

The product of its digits is 311169600, while the sum is 72.

The spelling of 5149779178752 in words is "five trillion, one hundred forty-nine billion, seven hundred seventy-nine million, one hundred seventy-eight thousand, seven hundred fifty-two".