951991004160 has 1320 divisors, whose sum is σ = 4025369494080. Its totient is φ = 214481240064.

The previous prime is 951991004149. The next prime is 951991004171. The reversal of 951991004160 is 61400199159.

951991004160 is a `hidden beast` number, since 9 + 519 + 91 + 0 + 0 + 41 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (951991004149) and next prime (951991004171).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1605380824 + ... + 1605381416.

It is an arithmetic number, because the mean of its divisors is an integer number (3049522344).

Almost surely, 2^951991004160 is an apocalyptic number.

951991004160 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 951991004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012684747040).

951991004160 is an abundant number, since it is smaller than the sum of its proper divisors (3073378489920).

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

951991004160 is a wasteful number, since it uses less digits than its factorization.

951991004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 951991004160 in words is "nine hundred fifty-one billion, nine hundred ninety-one million, four thousand, one hundred sixty".