71153972100 has 504 divisors, whose sum is σ = 249096973440. Its totient is φ = 17577181440.

The previous prime is 71153972069. The next prime is 71153972101. The reversal of 71153972100 is 127935117.

71153972100 is a `hidden beast` number, since 7 + 11 + 539 + 7 + 2 + 100 = 666.

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 (71153972101) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 65099154 + ... + 65100246.

Almost surely, 2^71153972100 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 71153972100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124548486720).

71153972100 is an abundant number, since it is smaller than the sum of its proper divisors (177943001340).

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

71153972100 is a wasteful number, since it uses less digits than its factorization.

71153972100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 71153972100 in words is "seventy-one billion, one hundred fifty-three million, nine hundred seventy-two thousand, one hundred".