47786277235200 has 480 divisors, whose sum is σ = 180552182063616. Its totient is φ = 10913985576960.

The previous prime is 47786277235183. The next prime is 47786277235223. The reversal of 47786277235200 is 253277268774.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×47786277235200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344801119 + ... + 344939681.

Almost surely, 2^{47786277235200} is an apocalyptic number.

47786277235200 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 47786277235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90276091031808).

47786277235200 is an abundant number, since it is smaller than the sum of its proper divisors (132765904828416).

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

47786277235200 is a wasteful number, since it uses less digits than its factorization.

47786277235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139884 (or 139863 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 60.

The spelling of 47786277235200 in words is "forty-seven trillion, seven hundred eighty-six billion, two hundred seventy-seven million, two hundred thirty-five thousand, two hundred".