950164121088 has 1440 divisors, whose sum is σ = 3756012099840. Its totient is φ = 237027409920.

The previous prime is 950164121087. The next prime is 950164121113. The reversal of 950164121088 is 880121461059.

It is a happy number.

950164121088 is a `hidden beast` number, since 9 + 501 + 6 + 41 + 21 + 0 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (950164121087) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1505806533 + ... + 1505807163.

It is an arithmetic number, because the mean of its divisors is an integer number (2608341736).

Almost surely, 2^950164121088 is an apocalyptic number.

950164121088 is a gapful number since it is divisible by the number (98) 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 950164121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878006049920).

950164121088 is an abundant number, since it is smaller than the sum of its proper divisors (2805847978752).

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

950164121088 is a wasteful number, since it uses less digits than its factorization.

950164121088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 950164121088 in words is "nine hundred fifty billion, one hundred sixty-four million, one hundred twenty-one thousand, eighty-eight".