88874664990720 has 2304 divisors, whose sum is σ = 365695948800000. Its totient is φ = 18297791447040.

The previous prime is 88874664990691. The next prime is 88874664990743. The reversal of 88874664990720 is 2709946647888.

It is a super-2 number, since 2×88874664990720² (a number of 29 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 52309984431 + ... + 52309986129.

It is an arithmetic number, because the mean of its divisors is an integer number (158722200000).

Almost surely, 2^{88874664990720} is an apocalyptic number.

88874664990720 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 88874664990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182847974400000).

88874664990720 is an abundant number, since it is smaller than the sum of its proper divisors (276821283809280).

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

88874664990720 is a wasteful number, since it uses less digits than its factorization.

88874664990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 78.

The spelling of 88874664990720 in words is "eighty-eight trillion, eight hundred seventy-four billion, six hundred sixty-four million, nine hundred ninety thousand, seven hundred twenty".