12070152864 has 576 divisors, whose sum is σ = 45904465152. Its totient is φ = 2912256000.

The previous prime is 12070152833. The next prime is 12070152877. The reversal of 12070152864 is 46825107021.

12070152864 is a `hidden beast` number, since 1 + 2 + 0 + 70 + 1 + 528 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38076034 + ... + 38076350.

It is an arithmetic number, because the mean of its divisors is an integer number (79695252).

Almost surely, 2^12070152864 is an apocalyptic number.

12070152864 is a gapful number since it is divisible by the number (14) 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 12070152864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22952232576).

12070152864 is an abundant number, since it is smaller than the sum of its proper divisors (33834312288).

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

12070152864 is a wasteful number, since it uses less digits than its factorization.

12070152864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 12070152864 its reverse (46825107021), we get a palindrome (58895259885).

The spelling of 12070152864 in words is "twelve billion, seventy million, one hundred fifty-two thousand, eight hundred sixty-four".