47235759120 has 560 divisors, whose sum is σ = 185895691200. Its totient is φ = 11051873280.

The previous prime is 47235759101. The next prime is 47235759169. The reversal of 47235759120 is 2195753274.

It is a happy number.

47235759120 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 57 + 591 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18602811 + ... + 18605349.

Almost surely, 2^47235759120 is an apocalyptic number.

47235759120 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 47235759120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92947845600).

47235759120 is an abundant number, since it is smaller than the sum of its proper divisors (138659932080).

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

47235759120 is a wasteful number, since it uses less digits than its factorization.

47235759120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 47235759120 in words is "forty-seven billion, two hundred thirty-five million, seven hundred fifty-nine thousand, one hundred twenty".