85633658000 has 320 divisors, whose sum is σ = 241648033536. Its totient is φ = 29004800000.

The previous prime is 85633657961. The next prime is 85633658003. The reversal of 85633658000 is 85633658.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (85633658003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37772867 + ... + 37775133.

Almost surely, 2^85633658000 is an apocalyptic number.

85633658000 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 85633658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120824016768).

85633658000 is an abundant number, since it is smaller than the sum of its proper divisors (156014375536).

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

85633658000 is a wasteful number, since it uses less digits than its factorization.

85633658000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

85633658000 divided by its reverse (85633658) gives a cube (1000 = 10³).

The spelling of 85633658000 in words is "eighty-five billion, six hundred thirty-three million, six hundred fifty-eight thousand".