85614754680 has 2560 divisors, whose sum is σ = 421521408000. Its totient is φ = 15049359360.

The previous prime is 85614754657. The next prime is 85614754703. The reversal of 85614754680 is 8645741658.

85614754680 is a `hidden beast` number, since 8 + 5 + 6 + 14 + 7 + 546 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (85614754657) and next prime (85614754703).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 639 ways as a sum of consecutive naturals, for example, 2761766265 + ... + 2761766295.

It is an arithmetic number, because the mean of its divisors is an integer number (164656800).

Almost surely, 2^85614754680 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 85614754680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210760704000).

85614754680 is an abundant number, since it is smaller than the sum of its proper divisors (335906653320).

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

85614754680 is a wasteful number, since it uses less digits than its factorization.

85614754680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

It can be divided in two parts, 8561 and 4754680, that added together give a triangular number (4763241 = T₃₀₈₆).

The spelling of 85614754680 in words is "eighty-five billion, six hundred fourteen million, seven hundred fifty-four thousand, six hundred eighty".