951472572960 has 1152 divisors, whose sum is σ = 4125815930880. Its totient is φ = 178952011776.

The previous prime is 951472572907. The next prime is 951472572991. The reversal of 951472572960 is 69275274159.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 951472572960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 239844897 + ... + 239848863.

It is an arithmetic number, because the mean of its divisors is an integer number (3581437440).

Almost surely, 2^951472572960 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 951472572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062907965440).

951472572960 is an abundant number, since it is smaller than the sum of its proper divisors (3174343357920).

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

951472572960 is a wasteful number, since it uses less digits than its factorization.

951472572960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 57.

The spelling of 951472572960 in words is "nine hundred fifty-one billion, four hundred seventy-two million, five hundred seventy-two thousand, nine hundred sixty".