102867588878400 has 1344 divisors, whose sum is σ = 394609780857600. Its totient is φ = 26037559296000.

The previous prime is 102867588878269. The next prime is 102867588878407. The reversal of 102867588878400 is 4878885768201.

102867588878400 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 6 + 75 + 8 + 88 + 78 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (102867588878407) 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, 20487467890 + ... + 20487472910.

It is an arithmetic number, because the mean of its divisors is an integer number (293608467900).

Almost surely, 2^{102867588878400} is an apocalyptic number.

102867588878400 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 102867588878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197304890428800).

102867588878400 is an abundant number, since it is smaller than the sum of its proper divisors (291742191979200).

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

102867588878400 is a wasteful number, since it uses less digits than its factorization.

102867588878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 385351680, while the sum is 72.

The spelling of 102867588878400 in words is "one hundred two trillion, eight hundred sixty-seven billion, five hundred eighty-eight million, eight hundred seventy-eight thousand, four hundred".