71153095797888 has 256 divisors, whose sum is σ = 206941092839040. Its totient is φ = 21527537909760.

The previous prime is 71153095797887. The next prime is 71153095797893. The reversal of 71153095797888 is 88879759035117.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (71153095797887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1006985856 + ... + 1007056512.

Almost surely, 2^{71153095797888} is an apocalyptic number.

71153095797888 is a gapful number since it is divisible by the number (78) 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 71153095797888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103470546419520).

71153095797888 is an abundant number, since it is smaller than the sum of its proper divisors (135787997041152).

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

71153095797888 is a wasteful number, since it uses less digits than its factorization.

71153095797888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74055 (or 74043 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 78.

The spelling of 71153095797888 in words is "seventy-one trillion, one hundred fifty-three billion, ninety-five million, seven hundred ninety-seven thousand, eight hundred eighty-eight".