162425053900800 has 468 divisors, whose sum is σ = 582050164423104. Its totient is φ = 43292609740800.

The previous prime is 162425053900783. The next prime is 162425053900807. The reversal of 162425053900800 is 8009350524261.

162425053900800 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 250 + 5 + 390 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162425053900807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1974947680 + ... + 1975029920.

It is an arithmetic number, because the mean of its divisors is an integer number (1243696932528).

Almost surely, 2^{162425053900800} is an apocalyptic number.

162425053900800 is a gapful number since it is divisible by the number (10) 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 162425053900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291025082211552).

162425053900800 is an abundant number, since it is smaller than the sum of its proper divisors (419625110522304).

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

162425053900800 is a wasteful number, since it uses less digits than its factorization.

162425053900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84424 (or 84394 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 162425053900800 in words is "one hundred sixty-two trillion, four hundred twenty-five billion, fifty-three million, nine hundred thousand, eight hundred".