102388582167120 has 240 divisors, whose sum is σ = 353519181842112. Its totient is φ = 26542260541440.

The previous prime is 102388582167089. The next prime is 102388582167143. The reversal of 102388582167120 is 21761285883201.

It is a happy number.

102388582167120 is a `hidden beast` number, since 1 + 0 + 2 + 38 + 8 + 582 + 1 + 6 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 1304229 + ... + 14369348.

Almost surely, 2^{102388582167120} is an apocalyptic number.

102388582167120 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 102388582167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176759590921056).

102388582167120 is an abundant number, since it is smaller than the sum of its proper divisors (251130599674992).

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

102388582167120 is a wasteful number, since it uses less digits than its factorization.

102388582167120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15673850 (or 15673841 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 102388582167120 in words is "one hundred two trillion, three hundred eighty-eight billion, five hundred eighty-two million, one hundred sixty-seven thousand, one hundred twenty".