88256782357920 has 2304 divisors, whose sum is σ = 353307460746240. Its totient is φ = 20550829178880.

The previous prime is 88256782357903. The next prime is 88256782357927. The reversal of 88256782357920 is 2975328765288.

It is a happy number.

88256782357920 is a `hidden beast` number, since 8 + 8 + 2 + 5 + 6 + 7 + 8 + 23 + 579 + 20 = 666.

88256782357920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (88256782357927) 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 383 ways as a sum of consecutive naturals, for example, 448003971262 + ... + 448003971458.

It is an arithmetic number, because the mean of its divisors is an integer number (153345252060).

Almost surely, 2^{88256782357920} is an apocalyptic number.

88256782357920 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 88256782357920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176653730373120).

88256782357920 is an abundant number, since it is smaller than the sum of its proper divisors (265050678388320).

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

88256782357920 is a wasteful number, since it uses less digits than its factorization.

88256782357920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 88256782357920 in words is "eighty-eight trillion, two hundred fifty-six billion, seven hundred eighty-two million, three hundred fifty-seven thousand, nine hundred twenty".