6139053252000 has 288 divisors, whose sum is σ = 21801346925904. Its totient is φ = 1636040448000.

The previous prime is 6139053251987. The next prime is 6139053252037. The reversal of 6139053252000 is 2523509316.

6139053252000 is a `hidden beast` number, since 6 + 13 + 90 + 5 + 32 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 563202219024 + 5575851032976 = 750468^2 + 2361324^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57438610 + ... + 57545390.

Almost surely, 2^{6139053252000} is an apocalyptic number.

6139053252000 is a gapful number since it is divisible by the number (60) 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 6139053252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10900673462952).

6139053252000 is an abundant number, since it is smaller than the sum of its proper divisors (15662293673904).

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

6139053252000 is a wasteful number, since it uses less digits than its factorization.

6139053252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108409 (or 108388 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 6139053252000 in words is "six trillion, one hundred thirty-nine billion, fifty-three million, two hundred fifty-two thousand".