70812116242560 has 2304 divisors, whose sum is σ = 324734084363520. Its totient is φ = 14033682432000.

The previous prime is 70812116242513. The next prime is 70812116242597. The reversal of 70812116242560 is 6524261121807.

70812116242560 is a `hidden beast` number, since 7 + 0 + 8 + 1 + 2 + 1 + 162 + 425 + 60 = 666.

It is a super-3 number, since 3×70812116242560³ (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28634093484 + ... + 28634095956.

It is an arithmetic number, because the mean of its divisors is an integer number (140943613005).

Almost surely, 2^{70812116242560} is an apocalyptic number.

70812116242560 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 70812116242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162367042181760).

70812116242560 is an abundant number, since it is smaller than the sum of its proper divisors (253921968120960).

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

70812116242560 is a wasteful number, since it uses less digits than its factorization.

70812116242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 70812116242560 in words is "seventy trillion, eight hundred twelve billion, one hundred sixteen million, two hundred forty-two thousand, five hundred sixty".