71513878380000 has 960 divisors, whose sum is σ = 285027660352512. Its totient is φ = 15340216320000.

The previous prime is 71513878379989. The next prime is 71513878380013. The reversal of 71513878380000 is 8387831517.

It is a super-2 number, since 2×71513878380000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 511910160 + ... + 512049840.

Almost surely, 2^{71513878380000} is an apocalyptic number.

71513878380000 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 71513878380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142513830176256).

71513878380000 is an abundant number, since it is smaller than the sum of its proper divisors (213513781972512).

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

71513878380000 is a wasteful number, since it uses less digits than its factorization.

71513878380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139797 (or 139774 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 71513878380000 in words is "seventy-one trillion, five hundred thirteen billion, eight hundred seventy-eight million, three hundred eighty thousand".