71894589120 has 280 divisors, whose sum is σ = 256118715600. Its totient is φ = 19143641088.

The previous prime is 71894589101. The next prime is 71894589139. The reversal of 71894589120 is 2198549817.

It is a happy number.

71894589120 is a `hidden beast` number, since 7 + 1 + 89 + 458 + 91 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (71894589101) and next prime (71894589139).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22263666 + ... + 22266894.

Almost surely, 2^71894589120 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 71894589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128059357800).

71894589120 is an abundant number, since it is smaller than the sum of its proper divisors (184224126480).

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

71894589120 is a wasteful number, since it uses less digits than its factorization.

71894589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 71894589120 in words is "seventy-one billion, eight hundred ninety-four million, five hundred eighty-nine thousand, one hundred twenty".