47180870100 has 1296 divisors, whose sum is σ = 202280053248. Its totient is φ = 9080709120.

The previous prime is 47180870069. The next prime is 47180870101. The reversal of 47180870100 is 107808174.

47180870100 is a `hidden beast` number, since 471 + 8 + 0 + 87 + 0 + 100 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47180870101) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 458066649 + ... + 458066751.

It is an arithmetic number, because the mean of its divisors is an integer number (156080288).

Almost surely, 2^47180870100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47180870100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101140026624).

47180870100 is an abundant number, since it is smaller than the sum of its proper divisors (155099183148).

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

47180870100 is a wasteful number, since it uses less digits than its factorization.

47180870100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 47180870100 in words is "forty-seven billion, one hundred eighty million, eight hundred seventy thousand, one hundred".