88021701577872 has 360 divisors, whose sum is σ = 257837435497512. Its totient is φ = 28021528903680.

The previous prime is 88021701577841. The next prime is 88021701577877. The reversal of 88021701577872 is 27877510712088.

It can be written as a sum of positive squares in 12 ways, for example, as 21572532101376 + 66449169476496 = 4644624^2 + 8151636^2 .

It is not an unprimeable number, because it can be changed into a prime (88021701577877) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5863024638 + ... + 5863039650.

Almost surely, 2^{88021701577872} is an apocalyptic number.

88021701577872 is a gapful number since it is divisible by the number (82) 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 88021701577872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128918717748756).

88021701577872 is an abundant number, since it is smaller than the sum of its proper divisors (169815733919640).

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

88021701577872 is a wasteful number, since it uses less digits than its factorization.

88021701577872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15619 (or 15569 counting only the distinct ones).

The product of its (nonzero) digits is 24586240, while the sum is 63.

The spelling of 88021701577872 in words is "eighty-eight trillion, twenty-one billion, seven hundred one million, five hundred seventy-seven thousand, eight hundred seventy-two".