164588721120 has 432 divisors, whose sum is σ = 590571006480. Its totient is φ = 43338571776.

The previous prime is 164588721067. The next prime is 164588721127. The reversal of 164588721120 is 21127885461.

164588721120 is a `hidden beast` number, since 1 + 6 + 458 + 8 + 72 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (164588721127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87129136 + ... + 87131024.

It is an arithmetic number, because the mean of its divisors is an integer number (1367062515).

Almost surely, 2^164588721120 is an apocalyptic number.

164588721120 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 164588721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295285503240).

164588721120 is an abundant number, since it is smaller than the sum of its proper divisors (425982285360).

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

164588721120 is an frugal number, since it uses more digits than its factorization.

164588721120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 164588721120 in words is "one hundred sixty-four billion, five hundred eighty-eight million, seven hundred twenty-one thousand, one hundred twenty".