88281373824000 has 3520 divisors, whose sum is σ = 401674285309440. Its totient is φ = 18833198284800.

The previous prime is 88281373823977. The next prime is 88281373824011. The reversal of 88281373824000 is 42837318288.

88281373824000 is a `hidden beast` number, since 8 + 8 + 28 + 1 + 373 + 8 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 100662911562 + ... + 100662912438.

It is an arithmetic number, because the mean of its divisors is an integer number (114112012872).

Almost surely, 2^{88281373824000} is an apocalyptic number.

88281373824000 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 88281373824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200837142654720).

88281373824000 is an abundant number, since it is smaller than the sum of its proper divisors (313392911485440).

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

88281373824000 is a wasteful number, since it uses less digits than its factorization.

88281373824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 88281373824000 in words is "eighty-eight trillion, two hundred eighty-one billion, three hundred seventy-three million, eight hundred twenty-four thousand".