954936045360 has 320 divisors, whose sum is σ = 3703997214720. Its totient is φ = 224031744000.

The previous prime is 954936045347. The next prime is 954936045377. The reversal of 954936045360 is 63540639459.

954936045360 is a `hidden beast` number, since 9 + 5 + 49 + 3 + 60 + 4 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 954936045297 and 954936045306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88320 + ... + 1384800.

It is an arithmetic number, because the mean of its divisors is an integer number (11574991296).

Almost surely, 2^954936045360 is an apocalyptic number.

954936045360 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 954936045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851998607360).

954936045360 is an abundant number, since it is smaller than the sum of its proper divisors (2749061169360).

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

954936045360 is a wasteful number, since it uses less digits than its factorization.

954936045360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296545 (or 1296533 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 954936045360 in words is "nine hundred fifty-four billion, nine hundred thirty-six million, forty-five thousand, three hundred sixty".