71019970560 has 1200 divisors, whose sum is σ = 319722036480. Its totient is φ = 14651228160.

The previous prime is 71019970547. The next prime is 71019970577. The reversal of 71019970560 is 6507991017.

71019970560 is a `hidden beast` number, since 7 + 1 + 0 + 19 + 9 + 70 + 560 = 666.

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 79 ways as a sum of consecutive naturals, for example, 510934971 + ... + 510935109.

Almost surely, 2^71019970560 is an apocalyptic number.

71019970560 is a gapful number since it is divisible by the number (70) 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 71019970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159861018240).

71019970560 is an abundant number, since it is smaller than the sum of its proper divisors (248702065920).

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

71019970560 is a wasteful number, since it uses less digits than its factorization.

71019970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 71019970560 in words is "seventy-one billion, nineteen million, nine hundred seventy thousand, five hundred sixty".