71489886552 has 896 divisors, whose sum is σ = 258374707200. Its totient is φ = 18079386624.

The previous prime is 71489886547. The next prime is 71489886583. The reversal of 71489886552 is 25568898417.

71489886552 is a `hidden beast` number, since 71 + 4 + 8 + 9 + 8 + 8 + 6 + 552 = 666.

It is a super-2 number, since 2×71489886552² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (38707200) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 71489886552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1348865758 + ... + 1348865810.

Almost surely, 2^71489886552 is an apocalyptic number.

71489886552 is a gapful number since it is divisible by the number (72) 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 71489886552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129187353600).

71489886552 is an abundant number, since it is smaller than the sum of its proper divisors (186884820648).

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

71489886552 is a wasteful number, since it uses less digits than its factorization.

71489886552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 71489886552 in words is "seventy-one billion, four hundred eighty-nine million, eight hundred eighty-six thousand, five hundred fifty-two".