89283860660400 has 480 divisors, whose sum is σ = 330658763770368. Its totient is φ = 20171495424000.

The previous prime is 89283860660377. The next prime is 89283860660471. The reversal of 89283860660400 is 406606838298.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503012467 + ... + 503189933.

Almost surely, 2^{89283860660400} is an apocalyptic number.

89283860660400 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 89283860660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165329381885184).

89283860660400 is an abundant number, since it is smaller than the sum of its proper divisors (241374903109968).

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

89283860660400 is a wasteful number, since it uses less digits than its factorization.

89283860660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178189 (or 178178 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 89283860660400 in words is "eighty-nine trillion, two hundred eighty-three billion, eight hundred sixty million, six hundred sixty thousand, four hundred".