102407259842712 has 640 divisors, whose sum is σ = 333089180424000. Its totient is φ = 29051169177600.

The previous prime is 102407259842689. The next prime is 102407259842777. The reversal of 102407259842712 is 217248952704201.

102407259842712 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 7 + 2 + 598 + 42 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 52543487914 + ... + 52543489862.

Almost surely, 2^{102407259842712} is an apocalyptic number.

102407259842712 is a gapful number since it is divisible by the number (12) 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 102407259842712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166544590212000).

102407259842712 is an abundant number, since it is smaller than the sum of its proper divisors (230681920581288).

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

102407259842712 is a wasteful number, since it uses less digits than its factorization.

102407259842712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 102407259842712 in words is "one hundred two trillion, four hundred seven billion, two hundred fifty-nine million, eight hundred forty-two thousand, seven hundred twelve".