71602030080000 has 3900 divisors, whose sum is σ = 322967830992840. Its totient is φ = 15801827328000.

The previous prime is 71602030079999. The next prime is 71602030080011. The reversal of 71602030080000 is 8003020617.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 2469035519986 + ... + 2469035520014.

Almost surely, 2^{71602030080000} is an apocalyptic number.

71602030080000 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 71602030080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161483915496420).

71602030080000 is an abundant number, since it is smaller than the sum of its proper divisors (251365800912840).

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

71602030080000 is an frugal number, since it uses more digits than its factorization.

71602030080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 71602030080000 in words is "seventy-one trillion, six hundred two billion, thirty million, eighty thousand".