71057530152 has 512 divisors, whose sum is σ = 248696832000. Its totient is φ = 18341406720.

The previous prime is 71057530147. The next prime is 71057530261. The reversal of 71057530152 is 25103575017.

It is a happy number.

71057530152 is a `hidden beast` number, since 7 + 1 + 0 + 575 + 30 + 1 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65010918 + ... + 65012010.

It is an arithmetic number, because the mean of its divisors is an integer number (485736000).

Almost surely, 2^71057530152 is an apocalyptic number.

71057530152 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 71057530152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124348416000).

71057530152 is an abundant number, since it is smaller than the sum of its proper divisors (177639301848).

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

71057530152 is a wasteful number, since it uses less digits than its factorization.

71057530152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The spelling of 71057530152 in words is "seventy-one billion, fifty-seven million, five hundred thirty thousand, one hundred fifty-two".