5148906577920 has 1344 divisors, whose sum is σ = 21321072115200. Its totient is φ = 1148309471232.

The previous prime is 5148906577879. The next prime is 5148906577921. The reversal of 5148906577920 is 297756098415.

5148906577920 is a `hidden beast` number, since 5 + 1 + 489 + 0 + 65 + 7 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×5148906577920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5148906577921) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5437070887 + ... + 5437071833.

Almost surely, 2^{5148906577920} 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 5148906577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660536057600).

5148906577920 is an abundant number, since it is smaller than the sum of its proper divisors (16172165537280).

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

5148906577920 is an equidigital number, since it uses as much as digits as its factorization.

5148906577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 5148906577920 in words is "five trillion, one hundred forty-eight billion, nine hundred six million, five hundred seventy-seven thousand, nine hundred twenty".