85720961877408 has 1920 divisors, whose sum is σ = 322745769561600. Its totient is φ = 21934441267200.

The previous prime is 85720961877361. The next prime is 85720961877449. The reversal of 85720961877408 is 80477816902758.

85720961877408 is a `hidden beast` number, since 8 + 5 + 7 + 209 + 6 + 1 + 8 + 7 + 7 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 26947801578 + ... + 26947804758.

It is an arithmetic number, because the mean of its divisors is an integer number (168096754980).

Almost surely, 2^{85720961877408} is an apocalyptic number.

85720961877408 is a gapful number since it is divisible by the number (88) 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 85720961877408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161372884780800).

85720961877408 is an abundant number, since it is smaller than the sum of its proper divisors (237024807684192).

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

85720961877408 is a wasteful number, since it uses less digits than its factorization.

85720961877408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 85720961877408 in words is "eighty-five trillion, seven hundred twenty billion, nine hundred sixty-one million, eight hundred seventy-seven thousand, four hundred eight".