102578195880 has 320 divisors, whose sum is σ = 361398153600. Its totient is φ = 26046282240.

The previous prime is 102578195849. The next prime is 102578195887. The reversal of 102578195880 is 88591875201.

102578195880 is a `hidden beast` number, since 1 + 0 + 2 + 57 + 8 + 1 + 9 + 588 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102578195887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17062075 + ... + 17068085.

It is an arithmetic number, because the mean of its divisors is an integer number (1129369230).

Almost surely, 2^102578195880 is an apocalyptic number.

102578195880 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 102578195880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180699076800).

102578195880 is an abundant number, since it is smaller than the sum of its proper divisors (258819957720).

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

102578195880 is a wasteful number, since it uses less digits than its factorization.

102578195880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6286 (or 6273 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 102578195880 in words is "one hundred two billion, five hundred seventy-eight million, one hundred ninety-five thousand, eight hundred eighty".