16123525506000 has 480 divisors, whose sum is σ = 63415315731456. Its totient is φ = 3782643840000.

The previous prime is 16123525505999. The next prime is 16123525506029. The reversal of 16123525506000 is 60552532161.

16123525506000 is a `hidden beast` number, since 1 + 6 + 1 + 23 + 5 + 25 + 5 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4824582 + ... + 7451418.

Almost surely, 2^{16123525506000} is an apocalyptic number.

16123525506000 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 16123525506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31707657865728).

16123525506000 is an abundant number, since it is smaller than the sum of its proper divisors (47291790225456).

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

16123525506000 is a wasteful number, since it uses less digits than its factorization.

16123525506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626908 (or 2626889 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 16123525506000 in words is "sixteen trillion, one hundred twenty-three billion, five hundred twenty-five million, five hundred six thousand".