85052697600 has 396 divisors, whose sum is σ = 304436734296. Its totient is φ = 20932853760.

The previous prime is 85052697593. The next prime is 85052697607. The reversal of 85052697600 is 679625058.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85052697593) and next prime (85052697607).

It is a super-2 number, since 2×85052697600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85052697600.

It is not an unprimeable number, because it can be changed into a prime (85052697607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12975924 + ... + 12982476.

Almost surely, 2^85052697600 is an apocalyptic number.

85052697600 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 85052697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152218367148).

85052697600 is an abundant number, since it is smaller than the sum of its proper divisors (219384036696).

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

85052697600 is a wasteful number, since it uses less digits than its factorization.

85052697600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 85052697600 in words is "eighty-five billion, fifty-two million, six hundred ninety-seven thousand, six hundred".