956155166208 has 800 divisors, whose sum is σ = 3231271042560. Its totient is φ = 278970531840.

The previous prime is 956155166191. The next prime is 956155166221. The reversal of 956155166208 is 802661551659.

956155166208 is a `hidden beast` number, since 9 + 5 + 6 + 1 + 5 + 5 + 1 + 6 + 620 + 8 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1549683916 + ... + 1549684532.

Almost surely, 2^956155166208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956155166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615635521280).

956155166208 is an abundant number, since it is smaller than the sum of its proper divisors (2275115876352).

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

956155166208 is a wasteful number, since it uses less digits than its factorization.

956155166208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 956155166208 in words is "nine hundred fifty-six billion, one hundred fifty-five million, one hundred sixty-six thousand, two hundred eight".