817868950778880 has 5280 divisors, whose sum is σ = 4216391573708160. Its totient is φ = 148607407226880.

The previous prime is 817868950778851. The next prime is 817868950778923. The reversal of 817868950778880 is 88877059868718.

817868950778880 is a `hidden beast` number, since 8 + 17 + 8 + 6 + 8 + 9 + 507 + 7 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 55212910354 + ... + 55212925166.

It is an arithmetic number, because the mean of its divisors is an integer number (798559010172).

Almost surely, 2^{817868950778880} is an apocalyptic number.

817868950778880 is a gapful number since it is divisible by the number (80) 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 817868950778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108195786854080).

817868950778880 is an abundant number, since it is smaller than the sum of its proper divisors (3398522622929280).

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

817868950778880 is a wasteful number, since it uses less digits than its factorization.

817868950778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14907 (or 14873 counting only the distinct ones).

The product of its (nonzero) digits is 24277155840, while the sum is 90.

The spelling of 817868950778880 in words is "eight hundred seventeen trillion, eight hundred sixty-eight billion, nine hundred fifty million, seven hundred seventy-eight thousand, eight hundred eighty".