162054756864 has 1280 divisors, whose sum is σ = 659957760000. Its totient is φ = 38691717120.

The previous prime is 162054756847. The next prime is 162054756881. The reversal of 162054756864 is 468657450261.

162054756864 is a `hidden beast` number, since 1 + 6 + 20 + 54 + 7 + 568 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (162054756847) and next prime (162054756881).

It is a super-2 number, since 2×162054756864² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 162054756864.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 678053257 + ... + 678053495.

It is an arithmetic number, because the mean of its divisors is an integer number (515592000).

Almost surely, 2^162054756864 is an apocalyptic number.

162054756864 is a gapful number since it is divisible by the number (14) 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 162054756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329978880000).

162054756864 is an abundant number, since it is smaller than the sum of its proper divisors (497903003136).

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

162054756864 is a wasteful number, since it uses less digits than its factorization.

162054756864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 162054756864 in words is "one hundred sixty-two billion, fifty-four million, seven hundred fifty-six thousand, eight hundred sixty-four".