48971894400000 has 4752 divisors, whose sum is σ = 222959298691584. Its totient is φ = 10259251200000.

The previous prime is 48971894399971. The next prime is 48971894400017. The reversal of 48971894400000 is 449817984.

48971894400000 is a `hidden beast` number, since 4 + 89 + 71 + 8 + 94 + 400 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×48971894400000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48971894400000.

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, 1041955199977 + ... + 1041955200023.

Almost surely, 2^{48971894400000} is an apocalyptic number.

48971894400000 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 48971894400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111479649345792).

48971894400000 is an abundant number, since it is smaller than the sum of its proper divisors (173987404291584).

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

48971894400000 is a wasteful number, since it uses less digits than its factorization.

48971894400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 48971894400000 in words is "forty-eight trillion, nine hundred seventy-one billion, eight hundred ninety-four million, four hundred thousand".