48834893161560 has 768 divisors, whose sum is σ = 169573976772480. Its totient is φ = 11230982963200.

The previous prime is 48834893161477. The next prime is 48834893161573. The reversal of 48834893161560 is 6516139843884.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 48834893161491 and 48834893161500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3565364632 + ... + 3565378328.

Almost surely, 2^{48834893161560} is an apocalyptic number.

48834893161560 is a gapful number since it is divisible by the number (40) 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 48834893161560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84786988386240).

48834893161560 is an abundant number, since it is smaller than the sum of its proper divisors (120739083610920).

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

48834893161560 is a wasteful number, since it uses less digits than its factorization.

48834893161560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13940 (or 13925 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 66.

The spelling of 48834893161560 in words is "forty-eight trillion, eight hundred thirty-four billion, eight hundred ninety-three million, one hundred sixty-one thousand, five hundred sixty".