47258640000 has 1920 divisors, whose sum is σ = 219217078080. Its totient is φ = 9953280000.

The previous prime is 47258639993. The next prime is 47258640001. The reversal of 47258640000 is 4685274.

47258640000 is a `hidden beast` number, since 4 + 7 + 2 + 5 + 8 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47258640001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2779919992 + ... + 2779920008.

Almost surely, 2^47258640000 is an apocalyptic number.

47258640000 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 47258640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109608539040).

47258640000 is an abundant number, since it is smaller than the sum of its proper divisors (171958438080).

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

47258640000 is a wasteful number, since it uses less digits than its factorization.

47258640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 47258640000 in words is "forty-seven billion, two hundred fifty-eight million, six hundred forty thousand".