71651347019840 has 336 divisors, whose sum is σ = 209407280935680. Its totient is φ = 23219179683840.

The previous prime is 71651347019801. The next prime is 71651347019963. The reversal of 71651347019840 is 4891074315617.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128124512 + ... + 128682528.

Almost surely, 2^{71651347019840} is an apocalyptic number.

71651347019840 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 71651347019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104703640467840).

71651347019840 is an abundant number, since it is smaller than the sum of its proper divisors (137755933915840).

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

71651347019840 is a wasteful number, since it uses less digits than its factorization.

71651347019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558498 (or 558481 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 56.

The spelling of 71651347019840 in words is "seventy-one trillion, six hundred fifty-one billion, three hundred forty-seven million, nineteen thousand, eight hundred forty".