89417405952 has 480 divisors, whose sum is σ = 309789672192. Its totient is φ = 25219620864.

The previous prime is 89417405941. The next prime is 89417405963. The reversal of 89417405952 is 25950471498.

It is a happy number.

89417405952 is a `hidden beast` number, since 8 + 9 + 4 + 1 + 7 + 40 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (89417405941) and next prime (89417405963).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72285078 + ... + 72286314.

Almost surely, 2^89417405952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89417405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154894836096).

89417405952 is an abundant number, since it is smaller than the sum of its proper divisors (220372266240).

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

89417405952 is an equidigital number, since it uses as much as digits as its factorization.

89417405952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 89417405952 in words is "eighty-nine billion, four hundred seventeen million, four hundred five thousand, nine hundred fifty-two".