162513274734720 has 5120 divisors, whose sum is σ = 788245032960000. Its totient is φ = 30930016665600.

The previous prime is 162513274734719. The next prime is 162513274734749. The reversal of 162513274734720 is 27437472315261.

162513274734720 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 1 + 3 + 274 + 7 + 347 + 20 = 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 639 ways as a sum of consecutive naturals, for example, 325677905031 + ... + 325677905529.

It is an arithmetic number, because the mean of its divisors is an integer number (153954108000).

Almost surely, 2^{162513274734720} is an apocalyptic number.

162513274734720 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 162513274734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394122516480000).

162513274734720 is an abundant number, since it is smaller than the sum of its proper divisors (625731758225280).

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

162513274734720 is a wasteful number, since it uses less digits than its factorization.

162513274734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 162513274734720 in words is "one hundred sixty-two trillion, five hundred thirteen billion, two hundred seventy-four million, seven hundred thirty-four thousand, seven hundred twenty".