48971242800 has 180 divisors, whose sum is σ = 170372637864. Its totient is φ = 13026048000.

The previous prime is 48971242783. The next prime is 48971242807. The reversal of 48971242800 is 824217984.

48971242800 is a `hidden beast` number, since 489 + 71 + 24 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (48971242807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1426639 + ... + 1460561.

Almost surely, 2^48971242800 is an apocalyptic number.

48971242800 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 48971242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85186318932).

48971242800 is an abundant number, since it is smaller than the sum of its proper divisors (121401395064).

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

48971242800 is a wasteful number, since it uses less digits than its factorization.

48971242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34348 (or 34334 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 48971242800 in words is "forty-eight billion, nine hundred seventy-one million, two hundred forty-two thousand, eight hundred".