956981329920 has 1200 divisors, whose sum is σ = 4279707831168. Its totient is φ = 198747095040.

The previous prime is 956981329901. The next prime is 956981329921. The reversal of 956981329920 is 29923189659.

956981329920 is a `hidden beast` number, since 95 + 69 + 81 + 329 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (956981329921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 510934104 + ... + 510935976.

Almost surely, 2^956981329920 is an apocalyptic number.

956981329920 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 956981329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139853915584).

956981329920 is an abundant number, since it is smaller than the sum of its proper divisors (3322726501248).

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

956981329920 is a wasteful number, since it uses less digits than its factorization.

956981329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 956981329920 in words is "nine hundred fifty-six billion, nine hundred eighty-one million, three hundred twenty-nine thousand, nine hundred twenty".