71138995200000 has 5040 divisors, whose sum is σ = 340073954811360. Its totient is φ = 14491975680000.

The previous prime is 71138995199999. The next prime is 71138995200047. The reversal of 71138995200000 is 259983117.

71138995200000 is a `hidden beast` number, since 7 + 1 + 1 + 38 + 99 + 520 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2453068799986 + ... + 2453068800014.

It is an arithmetic number, because the mean of its divisors is an integer number (67474991034).

Almost surely, 2^{71138995200000} is an apocalyptic number.

71138995200000 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 71138995200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170036977405680).

71138995200000 is an abundant number, since it is smaller than the sum of its proper divisors (268934959611360).

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

71138995200000 is an frugal number, since it uses more digits than its factorization.

71138995200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 71138995200000 in words is "seventy-one trillion, one hundred thirty-eight billion, nine hundred ninety-five million, two hundred thousand".