966587904000 has 1248 divisors, whose sum is σ = 3834430681536. Its totient is φ = 242063769600.

The previous prime is 966587903987. The next prime is 966587904097. The reversal of 966587904000 is 409785669.

966587904000 is a `hidden beast` number, since 96 + 65 + 8 + 7 + 90 + 400 + 0 = 666.

It is a super-2 number, since 2×966587904000² (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2115071772 + ... + 2115072228.

It is an arithmetic number, because the mean of its divisors is an integer number (3072460482).

Almost surely, 2^966587904000 is an apocalyptic number.

966587904000 is a gapful number since it is divisible by the number (90) 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 966587904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917215340768).

966587904000 is an abundant number, since it is smaller than the sum of its proper divisors (2867842777536).

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

966587904000 is an equidigital number, since it uses as much as digits as its factorization.

966587904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 966587904000 in words is "nine hundred sixty-six billion, five hundred eighty-seven million, nine hundred four thousand".