956985321600 has 1728 divisors, whose sum is σ = 4451529875520. Its totient is φ = 198717235200.

The previous prime is 956985321599. The next prime is 956985321601. The reversal of 956985321600 is 6123589659.

It is a happy number.

956985321600 is a `hidden beast` number, since 9 + 5 + 6 + 9 + 8 + 5 + 3 + 21 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (956985321599) and next prime (956985321601).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (956985321601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 658626474 + ... + 658627926.

Almost surely, 2^956985321600 is an apocalyptic number.

956985321600 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 956985321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225764937760).

956985321600 is an abundant number, since it is smaller than the sum of its proper divisors (3494544553920).

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

956985321600 is a wasteful number, since it uses less digits than its factorization.

956985321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 956985321600 in words is "nine hundred fifty-six billion, nine hundred eighty-five million, three hundred twenty-one thousand, six hundred".