48887946999360 has 896 divisors, whose sum is σ = 204075119001600. Its totient is φ = 10779823595520.

The previous prime is 48887946999337. The next prime is 48887946999407. The reversal of 48887946999360 is 6399964978884.

48887946999360 is a `hidden beast` number, since 4 + 8 + 8 + 87 + 9 + 469 + 9 + 9 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2159064199 + ... + 2159086841.

It is an arithmetic number, because the mean of its divisors is an integer number (227762409600).

Almost surely, 2^{48887946999360} is an apocalyptic number.

48887946999360 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 48887946999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102037559500800).

48887946999360 is an abundant number, since it is smaller than the sum of its proper divisors (155187172002240).

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

48887946999360 is a wasteful number, since it uses less digits than its factorization.

48887946999360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23936 (or 23920 counting only the distinct ones).

The product of its (nonzero) digits is 40633270272, while the sum is 90.

The spelling of 48887946999360 in words is "forty-eight trillion, eight hundred eighty-seven billion, nine hundred forty-six million, nine hundred ninety-nine thousand, three hundred sixty".