956055502080 has 1152 divisors, whose sum is σ = 4011752586240. Its totient is φ = 211062620160.

The previous prime is 956055502067. The next prime is 956055502081. The reversal of 956055502080 is 80205550659.

956055502080 is a `hidden beast` number, since 9 + 5 + 60 + 5 + 5 + 502 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956055502081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1120814934 + ... + 1120815786.

It is an arithmetic number, because the mean of its divisors is an integer number (3482424120).

Almost surely, 2^956055502080 is an apocalyptic number.

956055502080 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 956055502080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005876293120).

956055502080 is an abundant number, since it is smaller than the sum of its proper divisors (3055697084160).

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

956055502080 is a wasteful number, since it uses less digits than its factorization.

956055502080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 956055502080 in words is "nine hundred fifty-six billion, fifty-five million, five hundred two thousand, eighty".