102439935720864 has 1152 divisors, whose sum is σ = 357555534336000. Its totient is φ = 27174007111680.

The previous prime is 102439935720839. The next prime is 102439935720869. The reversal of 102439935720864 is 468027539934201.

102439935720864 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 399 + 35 + 7 + 208 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (102439935720869) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172748626552 + ... + 172748627144.

It is an arithmetic number, because the mean of its divisors is an integer number (310378068000).

It is a 1-persistent number, because it is pandigital, but 2⋅102439935720864 = 204879871441728 is not.

Almost surely, 2^{102439935720864} is an apocalyptic number.

102439935720864 is a gapful number since it is divisible by the number (14) 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 102439935720864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178777767168000).

102439935720864 is an abundant number, since it is smaller than the sum of its proper divisors (255115598615136).

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

102439935720864 is a wasteful number, since it uses less digits than its factorization.

102439935720864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 102439935720864 in words is "one hundred two trillion, four hundred thirty-nine billion, nine hundred thirty-five million, seven hundred twenty thousand, eight hundred sixty-four".