85926740838400 has 288 divisors, whose sum is σ = 265616167602240. Its totient is φ = 26782359552000.

The previous prime is 85926740838373. The next prime is 85926740838403. The reversal of 85926740838400 is 483804762958.

85926740838400 is digitally balanced in base 3 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×85926740838400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (85926740838403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6955371 + ... + 14840170.

It is an arithmetic number, because the mean of its divisors is an integer number (922278359730).

Almost surely, 2^{85926740838400} is an apocalyptic number.

85926740838400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85926740838400 is an abundant number, since it is smaller than the sum of its proper divisors (179689426763840).

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

85926740838400 is a wasteful number, since it uses less digits than its factorization.

85926740838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21795591 (or 21795566 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

The spelling of 85926740838400 in words is "eighty-five trillion, nine hundred twenty-six billion, seven hundred forty million, eight hundred thirty-eight thousand, four hundred".