89476622400 has 336 divisors, whose sum is σ = 320745185280. Its totient is φ = 21657446400.

The previous prime is 89476622387. The next prime is 89476622401. The reversal of 89476622400 is 422667498.

It is a super-2 number, since 2×89476622400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 89476622400.

It is not an unprimeable number, because it can be changed into a prime (89476622401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57392821 + ... + 57394379.

Almost surely, 2^89476622400 is an apocalyptic number.

89476622400 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 89476622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160372592640).

89476622400 is an abundant number, since it is smaller than the sum of its proper divisors (231268562880).

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

89476622400 is a wasteful number, since it uses less digits than its factorization.

89476622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 89476622400 in words is "eighty-nine billion, four hundred seventy-six million, six hundred twenty-two thousand, four hundred".