8788610621952 has 1440 divisors, whose sum is σ = 31370427007920. Its totient is φ = 2358352281600.

The previous prime is 8788610621951. The next prime is 8788610621957. The reversal of 8788610621952 is 2591260168878.

8788610621952 is a `hidden beast` number, since 8 + 7 + 8 + 8 + 610 + 6 + 2 + 1 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7044055716096 + 1744554905856 = 2654064^2 + 1320816^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 8788610621952.

It is not an unprimeable number, because it can be changed into a prime (8788610621951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64150442428 + ... + 64150442564.

Almost surely, 2^{8788610621952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8788610621952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685213503960).

8788610621952 is an abundant number, since it is smaller than the sum of its proper divisors (22581816385968).

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

8788610621952 is a wasteful number, since it uses less digits than its factorization.

8788610621952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 8788610621952 in words is "eight trillion, seven hundred eighty-eight billion, six hundred ten million, six hundred twenty-one thousand, nine hundred fifty-two".