966938310000 has 1600 divisors, whose sum is σ = 4002368832000. Its totient is φ = 224228736000.

The previous prime is 966938309993. The next prime is 966938310067. The reversal of 966938310000 is 13839669.

It is a super-2 number, since 2×966938310000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5401889911 + ... + 5401890089.

It is an arithmetic number, because the mean of its divisors is an integer number (2501480520).

Almost surely, 2^966938310000 is an apocalyptic number.

966938310000 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 966938310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001184416000).

966938310000 is an abundant number, since it is smaller than the sum of its proper divisors (3035430522000).

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

966938310000 is a wasteful number, since it uses less digits than its factorization.

966938310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 966938310000 in words is "nine hundred sixty-six billion, nine hundred thirty-eight million, three hundred ten thousand".