47801837049120 has 2592 divisors, whose sum is σ = 225224471384640. Its totient is φ = 9103817318400.

The previous prime is 47801837048989. The next prime is 47801837049137. The reversal of 47801837049120 is 2194073810874.

47801837049120 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 1 + 83 + 70 + 491 + 2 + 0 = 666.

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, 14171903754 + ... + 14171907126.

It is an arithmetic number, because the mean of its divisors is an integer number (86892157170).

Almost surely, 2^{47801837049120} is an apocalyptic number.

47801837049120 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 47801837049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112612235692320).

47801837049120 is an abundant number, since it is smaller than the sum of its proper divisors (177422634335520).

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

47801837049120 is a wasteful number, since it uses less digits than its factorization.

47801837049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 47801837049120 in words is "forty-seven trillion, eight hundred one billion, eight hundred thirty-seven million, forty-nine thousand, one hundred twenty".