89983754733600 has 1152 divisors, whose sum is σ = 413464096604160. Its totient is φ = 18373132800000.

The previous prime is 89983754733599. The next prime is 89983754733619. The reversal of 89983754733600 is 633745738998.

89983754733600 is a `hidden beast` number, since 8 + 9 + 9 + 8 + 3 + 7 + 5 + 4 + 7 + 3 + 3 + 600 = 666.

It is a super-2 number, since 2×89983754733600² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60195225 + ... + 61671975.

It is an arithmetic number, because the mean of its divisors is an integer number (358909806080).

Almost surely, 2^{89983754733600} is an apocalyptic number.

89983754733600 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 89983754733600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206732048302080).

89983754733600 is an abundant number, since it is smaller than the sum of its proper divisors (323480341870560).

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

89983754733600 is a wasteful number, since it uses less digits than its factorization.

89983754733600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476831 (or 1476812 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 89983754733600 in words is "eighty-nine trillion, nine hundred eighty-three billion, seven hundred fifty-four million, seven hundred thirty-three thousand, six hundred".