164987751600000 has 1152 divisors, whose sum is σ = 678808469102400. Its totient is φ = 37677588480000.

The previous prime is 164987751599987. The next prime is 164987751600019. The reversal of 164987751600000 is 6157789461.

164987751600000 is a `hidden beast` number, since 1 + 6 + 49 + 87 + 7 + 516 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 164987751600000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37522797802 + ... + 37522802198.

Almost surely, 2^{164987751600000} is an apocalyptic number.

164987751600000 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 164987751600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339404234551200).

164987751600000 is an abundant number, since it is smaller than the sum of its proper divisors (513820717502400).

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

164987751600000 is an equidigital number, since it uses as much as digits as its factorization.

164987751600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5938 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 164987751600000 in words is "one hundred sixty-four trillion, nine hundred eighty-seven billion, seven hundred fifty-one million, six hundred thousand".