16140542652000 has 3072 divisors, whose sum is σ = 68969123758080. Its totient is φ = 3634937856000.

The previous prime is 16140542651971. The next prime is 16140542652037. The reversal of 16140542652000 is 25624504161.

16140542652000 is a `hidden beast` number, since 1 + 6 + 1 + 405 + 42 + 6 + 5 + 200 + 0 = 666.

16140542652000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 511 ways as a sum of consecutive naturals, for example, 96649955917 + ... + 96649956083.

It is an arithmetic number, because the mean of its divisors is an integer number (22450886640).

Almost surely, 2^{16140542652000} is an apocalyptic number.

16140542652000 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 16140542652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34484561879040).

16140542652000 is an abundant number, since it is smaller than the sum of its proper divisors (52828581106080).

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

16140542652000 is a wasteful number, since it uses less digits than its factorization.

16140542652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 16140542652000 in words is "sixteen trillion, one hundred forty billion, five hundred forty-two million, six hundred fifty-two thousand".