85437780480 has 320 divisors, whose sum is σ = 326830331520. Its totient is φ = 21030617088.

The previous prime is 85437780479. The next prime is 85437780487. The reversal of 85437780480 is 8408773458.

It is a happy number.

85437780480 is a `hidden beast` number, since 8 + 54 + 37 + 7 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×85437780480² (a number of 23 digits) contains 22 as substring.

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 (85437780487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851019 + ... + 946101.

It is an arithmetic number, because the mean of its divisors is an integer number (1021344786).

Almost surely, 2^85437780480 is an apocalyptic number.

85437780480 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 85437780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163415165760).

85437780480 is an abundant number, since it is smaller than the sum of its proper divisors (241392551040).

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

85437780480 is a wasteful number, since it uses less digits than its factorization.

85437780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95128 (or 95106 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 85437780480 in words is "eighty-five billion, four hundred thirty-seven million, seven hundred eighty thousand, four hundred eighty".