5148600520896 has 672 divisors, whose sum is σ = 17902693785600. Its totient is φ = 1381945743360.

The previous prime is 5148600520883. The next prime is 5148600520927. The reversal of 5148600520896 is 6980250068415.

5148600520896 is a `hidden beast` number, since 5 + 1 + 4 + 8 + 600 + 5 + 20 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×5148600520896³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7160779225 + ... + 7160779943.

Almost surely, 2^{5148600520896} is an apocalyptic number.

5148600520896 is a gapful number since it is divisible by the number (56) 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 5148600520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951346892800).

5148600520896 is an abundant number, since it is smaller than the sum of its proper divisors (12754093264704).

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

5148600520896 is a wasteful number, since it uses less digits than its factorization.

5148600520896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 5148600520896 in words is "five trillion, one hundred forty-eight billion, six hundred million, five hundred twenty thousand, eight hundred ninety-six".