88201326977280 has 864 divisors, whose sum is σ = 354775943208960. Its totient is φ = 20017291345920.

The previous prime is 88201326977261. The next prime is 88201326977329. The reversal of 88201326977280 is 8277962310288.

88201326977280 is a `hidden beast` number, since 8 + 8 + 20 + 1 + 3 + 269 + 77 + 280 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136662381 + ... + 137306259.

It is an arithmetic number, because the mean of its divisors is an integer number (410620304640).

Almost surely, 2^{88201326977280} is an apocalyptic number.

88201326977280 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 88201326977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177387971604480).

88201326977280 is an abundant number, since it is smaller than the sum of its proper divisors (266574616231680).

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

88201326977280 is a wasteful number, since it uses less digits than its factorization.

88201326977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643987 (or 643970 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 88201326977280 in words is "eighty-eight trillion, two hundred one billion, three hundred twenty-six million, nine hundred seventy-seven thousand, two hundred eighty".