89935650000 has 960 divisors, whose sum is σ = 381895557120. Its totient is φ = 19828800000.

The previous prime is 89935649963. The next prime is 89935650071. The reversal of 89935650000 is 5653998.

89935650000 is a `hidden beast` number, since 8 + 9 + 93 + 56 + 500 + 0 + 0 = 666.

It is a super-2 number, since 2×89935650000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 292949847 + ... + 292950153.

It is an arithmetic number, because the mean of its divisors is an integer number (397807872).

Almost surely, 2^89935650000 is an apocalyptic number.

89935650000 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 89935650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190947778560).

89935650000 is an abundant number, since it is smaller than the sum of its proper divisors (291959907120).

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

89935650000 is a wasteful number, since it uses less digits than its factorization.

89935650000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 89935650000 in words is "eighty-nine billion, nine hundred thirty-five million, six hundred fifty thousand".