48912870600 has 360 divisors, whose sum is σ = 186736895730. Its totient is φ = 11857190400.

The previous prime is 48912870583. The next prime is 48912870667. The reversal of 48912870600 is 607821984.

It can be written as a sum of positive squares in 3 ways, for example, as 40867856964 + 8045013636 = 202158^2 + 89694^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 89 ways as a sum of consecutive naturals, for example, 1947724 + ... + 1972676.

Almost surely, 2^48912870600 is an apocalyptic number.

48912870600 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 48912870600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93368447865).

48912870600 is an abundant number, since it is smaller than the sum of its proper divisors (137824025130).

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

48912870600 is a wasteful number, since it uses less digits than its factorization.

48912870600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25003 (or 24974 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 48912870600 in words is "forty-eight billion, nine hundred twelve million, eight hundred seventy thousand, six hundred".