9504397400850 has 576 divisors, whose sum is σ = 32085027676800. Its totient is φ = 2054415052800.

The previous prime is 9504397400821. The next prime is 9504397400893. The reversal of 9504397400850 is 580047934059.

9504397400850 is a `hidden beast` number, since 9 + 504 + 3 + 97 + 40 + 0 + 8 + 5 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52671982 + ... + 52852118.

It is an arithmetic number, because the mean of its divisors is an integer number (55703173050).

Almost surely, 2^{9504397400850} is an apocalyptic number.

9504397400850 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9504397400850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042513838400).

9504397400850 is an abundant number, since it is smaller than the sum of its proper divisors (22580630275950).

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

9504397400850 is a wasteful number, since it uses less digits than its factorization.

9504397400850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180216 (or 180194 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 9504397400850 in words is "nine trillion, five hundred four billion, three hundred ninety-seven million, four hundred thousand, eight hundred fifty".