89736611400 has 960 divisors, whose sum is σ = 356235770880. Its totient is φ = 20802355200.

The previous prime is 89736611359. The next prime is 89736611467. The reversal of 89736611400 is 411663798.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 196359972 + ... + 196360428.

It is an arithmetic number, because the mean of its divisors is an integer number (371078928).

Almost surely, 2^89736611400 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 89736611400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178117885440).

89736611400 is an abundant number, since it is smaller than the sum of its proper divisors (266499159480).

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

89736611400 is a wasteful number, since it uses less digits than its factorization.

89736611400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 89736611400 in words is "eighty-nine billion, seven hundred thirty-six million, six hundred eleven thousand, four hundred".