85277744970240 has 640 divisors, whose sum is σ = 283687557120000. Its totient is φ = 21830259179520.

The previous prime is 85277744970239. The next prime is 85277744970241. The reversal of 85277744970240 is 4207944777258.

85277744970240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (85277744970239) and next prime (85277744970241).

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (85277744970241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16724403211 + ... + 16724408309.

It is an arithmetic number, because the mean of its divisors is an integer number (443261808000).

Almost surely, 2^{85277744970240} is an apocalyptic number.

85277744970240 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 85277744970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141843778560000).

85277744970240 is an abundant number, since it is smaller than the sum of its proper divisors (198409812149760).

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

85277744970240 is a wasteful number, since it uses less digits than its factorization.

85277744970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5692 counting only the distinct ones).

The product of its (nonzero) digits is 221276160, while the sum is 66.

The spelling of 85277744970240 in words is "eighty-five trillion, two hundred seventy-seven billion, seven hundred forty-four million, nine hundred seventy thousand, two hundred forty".