48550948992000 has 4224 divisors, whose sum is σ = 236676820423680. Its totient is φ = 9631589990400.

The previous prime is 48550948991953. The next prime is 48550948992011. The reversal of 48550948992000 is 29984905584.

48550948992000 is a `hidden beast` number, since 4 + 85 + 50 + 9 + 489 + 9 + 20 + 0 + 0 = 666.

It is a super-3 number, since 3×48550948992000³ (a number of 42 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 48117887496 + ... + 48117888504.

Almost surely, 2^{48550948992000} is an apocalyptic number.

48550948992000 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 48550948992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118338410211840).

48550948992000 is an abundant number, since it is smaller than the sum of its proper divisors (188125871431680).

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

48550948992000 is a wasteful number, since it uses less digits than its factorization.

48550948992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 48550948992000 in words is "forty-eight trillion, five hundred fifty billion, nine hundred forty-eight million, nine hundred ninety-two thousand".