85901051776 has 128 divisors (see below), whose sum is σ = 178578172800. Its totient is φ = 41124390912.

The previous prime is 85901051771. The next prime is 85901051777. The reversal of 85901051776 is 67715010958.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85901051771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90708135 + ... + 90709081.

It is an arithmetic number, because the mean of its divisors is an integer number (1395141975).

Almost surely, 2^85901051776 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 85901051776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89289086400).

85901051776 is an abundant number, since it is smaller than the sum of its proper divisors (92677121024).

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

85901051776 is a wasteful number, since it uses less digits than its factorization.

85901051776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 49.

The spelling of 85901051776 in words is "eighty-five billion, nine hundred one million, fifty-one thousand, seven hundred seventy-six".