84650057856 has 1024 divisors, whose sum is σ = 331643289600. Its totient is φ = 20623196160.

The previous prime is 84650057813. The next prime is 84650057881. The reversal of 84650057856 is 65875005648.

84650057856 is a `hidden beast` number, since 8 + 4 + 6 + 500 + 57 + 85 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 379596561 + ... + 379596783.

It is an arithmetic number, because the mean of its divisors is an integer number (323870400).

Almost surely, 2^84650057856 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 84650057856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165821644800).

84650057856 is an abundant number, since it is smaller than the sum of its proper divisors (246993231744).

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

84650057856 is a wasteful number, since it uses less digits than its factorization.

84650057856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 84650057856 in words is "eighty-four billion, six hundred fifty million, fifty-seven thousand, eight hundred fifty-six".