85803640215552 has 1920 divisors, whose sum is σ = 322010039070720. Its totient is φ = 22290251120640.

The previous prime is 85803640215547. The next prime is 85803640215589. The reversal of 85803640215552 is 25551204630858.

85803640215552 is a `hidden beast` number, since 8 + 5 + 8 + 0 + 3 + 64 + 0 + 21 + 5 + 552 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 148706481888 + ... + 148706482464.

It is an arithmetic number, because the mean of its divisors is an integer number (167713562016).

Almost surely, 2^{85803640215552} 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 85803640215552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161005019535360).

85803640215552 is an abundant number, since it is smaller than the sum of its proper divisors (236206398855168).

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

85803640215552 is an frugal number, since it uses more digits than its factorization.

85803640215552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 85803640215552 in words is "eighty-five trillion, eight hundred three billion, six hundred forty million, two hundred fifteen thousand, five hundred fifty-two".