6388151132160 has 2240 divisors, whose sum is σ = 28500066017280. Its totient is φ = 1335809802240.

The previous prime is 6388151132147. The next prime is 6388151132173. The reversal of 6388151132160 is 612311518836.

6388151132160 is a `hidden beast` number, since 6 + 38 + 81 + 511 + 3 + 21 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6388151132147) and next prime (6388151132173).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13679124247 + ... + 13679124713.

Almost surely, 2^{6388151132160} is an apocalyptic number.

6388151132160 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 6388151132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250033008640).

6388151132160 is an abundant number, since it is smaller than the sum of its proper divisors (22111914885120).

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

6388151132160 is a wasteful number, since it uses less digits than its factorization.

6388151132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 6388151132160 in words is "six trillion, three hundred eighty-eight billion, one hundred fifty-one million, one hundred thirty-two thousand, one hundred sixty".