878145087516752 has 240 divisors, whose sum is σ = 1907553719373120. Its totient is φ = 388280104396800.

The previous prime is 878145087516607. The next prime is 878145087516769. The reversal of 878145087516752 is 257615780541878.

It is a super-2 number, since 2×878145087516752² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 878145087516752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75839452499 + ... + 75839464077.

It is an arithmetic number, because the mean of its divisors is an integer number (7948140497388).

Almost surely, 2^{878145087516752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 878145087516752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953776859686560).

878145087516752 is an abundant number, since it is smaller than the sum of its proper divisors (1029408631856368).

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

878145087516752 is a wasteful number, since it uses less digits than its factorization.

878145087516752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490 (or 12377 counting only the distinct ones).

The product of its (nonzero) digits is 1053696000, while the sum is 74.

The spelling of 878145087516752 in words is "eight hundred seventy-eight trillion, one hundred forty-five billion, eighty-seven million, five hundred sixteen thousand, seven hundred fifty-two".