88067420962560 has 648 divisors, whose sum is σ = 343030578203040. Its totient is φ = 20735588155392.

The previous prime is 88067420962531. The next prime is 88067420962579. The reversal of 88067420962560 is 6526902476088.

88067420962560 is a `hidden beast` number, since 8 + 8 + 0 + 6 + 7 + 4 + 2 + 0 + 9 + 62 + 560 = 666.

88067420962560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78667221 + ... + 79778859.

Almost surely, 2^{88067420962560} is an apocalyptic number.

88067420962560 is a gapful number since it is divisible by the number (80) 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 88067420962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171515289101520).

88067420962560 is an abundant number, since it is smaller than the sum of its proper divisors (254963157240480).

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

88067420962560 is a wasteful number, since it uses less digits than its factorization.

88067420962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111725 (or 1111685 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 88067420962560 in words is "eighty-eight trillion, sixty-seven billion, four hundred twenty million, nine hundred sixty-two thousand, five hundred sixty".