71998896453120 has 1280 divisors, whose sum is σ = 319926183413760. Its totient is φ = 14941863936000.

The previous prime is 71998896453119. The next prime is 71998896453137. The reversal of 71998896453120 is 2135469889917.

71998896453120 is a `hidden beast` number, since 7 + 1 + 9 + 9 + 8 + 8 + 9 + 64 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 383591295 + ... + 383778945.

It is an arithmetic number, because the mean of its divisors is an integer number (249942330792).

It is a 1-persistent number, because it is pandigital, but 2⋅71998896453120 = 143997792906240 is not.

Almost surely, 2^{71998896453120} is an apocalyptic number.

71998896453120 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 71998896453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159963091706880).

71998896453120 is an abundant number, since it is smaller than the sum of its proper divisors (247927286960640).

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

71998896453120 is a wasteful number, since it uses less digits than its factorization.

71998896453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187764 (or 187742 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 71998896453120 in words is "seventy-one trillion, nine hundred ninety-eight billion, eight hundred ninety-six million, four hundred fifty-three thousand, one hundred twenty".