162749415628800 has 6048 divisors, whose sum is σ = 819508488349824. Its totient is φ = 31216671129600.

The previous prime is 162749415628733. The next prime is 162749415628831. The reversal of 162749415628800 is 8826514947261.

It is a happy number.

162749415628800 is a `hidden beast` number, since 1 + 6 + 2 + 7 + 494 + 1 + 5 + 62 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 12519185817594 + ... + 12519185817606.

Almost surely, 2^{162749415628800} is an apocalyptic number.

162749415628800 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 162749415628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409754244174912).

162749415628800 is an abundant number, since it is smaller than the sum of its proper divisors (656759072721024).

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

162749415628800 is an frugal number, since it uses more digits than its factorization.

162749415628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 162749415628800 in words is "one hundred sixty-two trillion, seven hundred forty-nine billion, four hundred fifteen million, six hundred twenty-eight thousand, eight hundred".