5158377463680 has 768 divisors, whose sum is σ = 21951380505600. Its totient is φ = 1089751449600.

The previous prime is 5158377463523. The next prime is 5158377463711. The reversal of 5158377463680 is 863647738515.

It is a happy number.

5158377463680 is a `hidden beast` number, since 5 + 1 + 583 + 7 + 7 + 46 + 3 + 6 + 8 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31327165 + ... + 31491395.

It is an arithmetic number, because the mean of its divisors is an integer number (28582526700).

Almost surely, 2^{5158377463680} 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 5158377463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10975690252800).

5158377463680 is an abundant number, since it is smaller than the sum of its proper divisors (16793003041920).

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

5158377463680 is a wasteful number, since it uses less digits than its factorization.

5158377463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164323 (or 164308 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 5158377463680 in words is "five trillion, one hundred fifty-eight billion, three hundred seventy-seven million, four hundred sixty-three thousand, six hundred eighty".