951938242560 has 576 divisors, whose sum is σ = 3469559184000. Its totient is φ = 241037475840.

The previous prime is 951938242537. The next prime is 951938242637. The reversal of 951938242560 is 65242839159.

951938242560 is a `hidden beast` number, since 9 + 5 + 1 + 9 + 38 + 2 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 951938242497 and 951938242506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163028121 + ... + 163033959.

It is an arithmetic number, because the mean of its divisors is an integer number (6023540250).

Almost surely, 2^951938242560 is an apocalyptic number.

951938242560 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 951938242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734779592000).

951938242560 is an abundant number, since it is smaller than the sum of its proper divisors (2517620941440).

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

951938242560 is a wasteful number, since it uses less digits than its factorization.

951938242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 951938242560 in words is "nine hundred fifty-one billion, nine hundred thirty-eight million, two hundred forty-two thousand, five hundred sixty".