956665193400 has 1152 divisors, whose sum is σ = 3943232616960. Its totient is φ = 211009536000.

The previous prime is 956665193333. The next prime is 956665193453. The reversal of 956665193400 is 4391566659.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1492457080 + ... + 1492457720.

It is an arithmetic number, because the mean of its divisors is an integer number (3422944980).

Almost surely, 2^956665193400 is an apocalyptic number.

956665193400 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 956665193400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971616308480).

956665193400 is an abundant number, since it is smaller than the sum of its proper divisors (2986567423560).

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

956665193400 is a wasteful number, since it uses less digits than its factorization.

956665193400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 956665193400 in words is "nine hundred fifty-six billion, six hundred sixty-five million, one hundred ninety-three thousand, four hundred".