5158148688000 has 3840 divisors, whose sum is σ = 24910666260480. Its totient is φ = 1034643456000.

The previous prime is 5158148687999. The next prime is 5158148688059. The reversal of 5158148688000 is 8868418515.

5158148688000 is a `hidden beast` number, since 5 + 1 + 5 + 81 + 486 + 8 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×5158148688000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 40615343937 + ... + 40615344063.

It is an arithmetic number, because the mean of its divisors is an integer number (6487152672).

Almost surely, 2^{5158148688000} is an apocalyptic number.

5158148688000 is a gapful number since it is divisible by the number (50) 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 5158148688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12455333130240).

5158148688000 is an abundant number, since it is smaller than the sum of its proper divisors (19752517572480).

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

5158148688000 is a wasteful number, since it uses less digits than its factorization.

5158148688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 5158148688000 in words is "five trillion, one hundred fifty-eight billion, one hundred forty-eight million, six hundred eighty-eight thousand".