71539977600000 has 3696 divisors, whose sum is σ = 330830062145856. Its totient is φ = 15049359360000.

The previous prime is 71539977599983. The next prime is 71539977600017. The reversal of 71539977600000 is 677993517.

It is an interprime number because it is at equal distance from previous prime (71539977599983) and next prime (71539977600017).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 71539977600000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 212284799832 + ... + 212284800168.

Almost surely, 2^{71539977600000} is an apocalyptic number.

71539977600000 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 71539977600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165415031072928).

71539977600000 is an abundant number, since it is smaller than the sum of its proper divisors (259290084545856).

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

71539977600000 is an frugal number, since it uses more digits than its factorization.

71539977600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2500470, while the sum is 54.

The spelling of 71539977600000 in words is "seventy-one trillion, five hundred thirty-nine billion, nine hundred seventy-seven million, six hundred thousand".