47971772100 has 252 divisors, whose sum is σ = 178375291584. Its totient is φ = 10964859840.

The previous prime is 47971772087. The next prime is 47971772137. The reversal of 47971772100 is 127717974.

47971772100 is a `hidden beast` number, since 479 + 7 + 1 + 7 + 72 + 100 = 666.

47971772100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

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 83 ways as a sum of consecutive naturals, for example, 463297 + ... + 557303.

Almost surely, 2^47971772100 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 47971772100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89187645792).

47971772100 is an abundant number, since it is smaller than the sum of its proper divisors (130403519484).

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

47971772100 is a wasteful number, since it uses less digits than its factorization.

47971772100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94046 (or 94024 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The spelling of 47971772100 in words is "forty-seven billion, nine hundred seventy-one million, seven hundred seventy-two thousand, one hundred".