85512749760 has 896 divisors, whose sum is σ = 329915520000. Its totient is φ = 21042229248.

The previous prime is 85512749737. The next prime is 85512749783. The reversal of 85512749760 is 6794721558.

85512749760 is a `hidden beast` number, since 8 + 551 + 27 + 4 + 9 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (85512749737) and next prime (85512749783).

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

It is a junction number, because it is equal to n+sod(n) for n = 85512749697 and 85512749706.

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, 784520586 + ... + 784520694.

Almost surely, 2^85512749760 is an apocalyptic number.

85512749760 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 85512749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164957760000).

85512749760 is an abundant number, since it is smaller than the sum of its proper divisors (244402770240).

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

85512749760 is a wasteful number, since it uses less digits than its factorization.

85512749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 85512749760 in words is "eighty-five billion, five hundred twelve million, seven hundred forty-nine thousand, seven hundred sixty".