85403545656000 has 1344 divisors, whose sum is σ = 333708905327616. Its totient is φ = 19077746688000.

The previous prime is 85403545655993. The next prime is 85403545656031. The reversal of 85403545656000 is 65654530458.

It is a super-2 number, since 2×85403545656000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32435830684 + ... + 32435833316.

It is an arithmetic number, because the mean of its divisors is an integer number (248295316464).

Almost surely, 2^{85403545656000} is an apocalyptic number.

85403545656000 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 85403545656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166854452663808).

85403545656000 is an abundant number, since it is smaller than the sum of its proper divisors (248305359671616).

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

85403545656000 is a wasteful number, since it uses less digits than its factorization.

85403545656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 51.

The spelling of 85403545656000 in words is "eighty-five trillion, four hundred three billion, five hundred forty-five million, six hundred fifty-six thousand".