48985398000 has 2160 divisors, whose sum is σ = 240207563232. Its totient is φ = 9580032000.

The previous prime is 48985397987. The next prime is 48985398013. The reversal of 48985398000 is 89358984.

It is a happy number.

48985398000 is a `hidden beast` number, since 489 + 85 + 3 + 9 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48985397987) and next prime (48985398013).

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2881493992 + ... + 2881494008.

Almost surely, 2^48985398000 is an apocalyptic number.

48985398000 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 48985398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120103781616).

48985398000 is an abundant number, since it is smaller than the sum of its proper divisors (191222165232).

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

48985398000 is a wasteful number, since it uses less digits than its factorization.

48985398000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

It can be divided in two parts, 48985 and 398000, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 48985398000 in words is "forty-eight billion, nine hundred eighty-five million, three hundred ninety-eight thousand".