425617169155200 has 1536 divisors, whose sum is σ = 1759015844352000. Its totient is φ = 99555305472000.

The previous prime is 425617169155183. The next prime is 425617169155219. The reversal of 425617169155200 is 2551961716524.

425617169155200 is a `hidden beast` number, since 4 + 2 + 5 + 6 + 17 + 16 + 91 + 5 + 520 + 0 = 666.

It is a super-2 number, since 2×425617169155200² (a number of 30 digits) contains 22 as substring.

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

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, 49914053337 + ... + 49914061863.

It is an arithmetic number, because the mean of its divisors is an integer number (1145192607000).

Almost surely, 2^{425617169155200} is an apocalyptic number.

425617169155200 is a gapful number since it is divisible by the number (40) 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 425617169155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879507922176000).

425617169155200 is an abundant number, since it is smaller than the sum of its proper divisors (1333398675196800).

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

425617169155200 is a wasteful number, since it uses less digits than its factorization.

425617169155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10411 (or 10388 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 425617169155200 in words is "four hundred twenty-five trillion, six hundred seventeen billion, one hundred sixty-nine million, one hundred fifty-five thousand, two hundred".