71863890000 has 1200 divisors, whose sum is σ = 296761006080. Its totient is φ = 14878080000.

The previous prime is 71863889983. The next prime is 71863890037. The reversal of 71863890000 is 9836817.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 865829959 + ... + 865830041.

Almost surely, 2^71863890000 is an apocalyptic number.

71863890000 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 71863890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148380503040).

71863890000 is an abundant number, since it is smaller than the sum of its proper divisors (224897116080).

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

71863890000 is a wasteful number, since it uses less digits than its factorization.

71863890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 71863890000 in words is "seventy-one billion, eight hundred sixty-three million, eight hundred ninety thousand".