89248696320 has 384 divisors, whose sum is σ = 328261489920. Its totient is φ = 20278149120.

The previous prime is 89248696309. The next prime is 89248696331. The reversal of 89248696320 is 2369684298.

It is an interprime number because it is at equal distance from previous prime (89248696309) and next prime (89248696331).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38921094 + ... + 38923386.

It is an arithmetic number, because the mean of its divisors is an integer number (854847630).

Almost surely, 2^89248696320 is an apocalyptic number.

89248696320 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 89248696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164130744960).

89248696320 is an abundant number, since it is smaller than the sum of its proper divisors (239012793600).

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

89248696320 is a wasteful number, since it uses less digits than its factorization.

89248696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 89248696320 in words is "eighty-nine billion, two hundred forty-eight million, six hundred ninety-six thousand, three hundred twenty".