85629061544112 has 400 divisors, whose sum is σ = 265328563420800. Its totient is φ = 26583442928640.

The previous prime is 85629061544107. The next prime is 85629061544119. The reversal of 85629061544112 is 21144516092658.

It is a happy number.

85629061544112 is a `hidden beast` number, since 8 + 5 + 6 + 2 + 9 + 0 + 615 + 4 + 4 + 1 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (85629061544119) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 345030564 + ... + 345278652.

It is an arithmetic number, because the mean of its divisors is an integer number (663321408552).

Almost surely, 2^{85629061544112} 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 85629061544112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132664281710400).

85629061544112 is an abundant number, since it is smaller than the sum of its proper divisors (179699501876688).

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

85629061544112 is a wasteful number, since it uses less digits than its factorization.

85629061544112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248366 (or 248351 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 85629061544112 in words is "eighty-five trillion, six hundred twenty-nine billion, sixty-one million, five hundred forty-four thousand, one hundred twelve".