71037998892000 has 2304 divisors, whose sum is σ = 308770713538560. Its totient is φ = 15701050368000.

The previous prime is 71037998891999. The next prime is 71037998892083. The reversal of 71037998892000 is 29889973017.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45566387221 + ... + 45566388779.

It is an arithmetic number, because the mean of its divisors is an integer number (134015066640).

Almost surely, 2^{71037998892000} is an apocalyptic number.

71037998892000 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 71037998892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154385356769280).

71037998892000 is an abundant number, since it is smaller than the sum of its proper divisors (237732714646560).

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

71037998892000 is a wasteful number, since it uses less digits than its factorization.

71037998892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 71037998892000 in words is "seventy-one trillion, thirty-seven billion, nine hundred ninety-eight million, eight hundred ninety-two thousand".