85703837546880 has 1920 divisors, whose sum is σ = 378362654318880. Its totient is φ = 18369359511552.

The previous prime is 85703837546861. The next prime is 85703837546881. The reversal of 85703837546880 is 8864573830758.

85703837546880 is a `hidden beast` number, since 8 + 5 + 7 + 0 + 3 + 83 + 7 + 5 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 85703837546799 and 85703837546808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85703837546881) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12220706254 + ... + 12220713266.

Almost surely, 2^{85703837546880} is an apocalyptic number.

85703837546880 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 85703837546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189181327159440).

85703837546880 is an abundant number, since it is smaller than the sum of its proper divisors (292658816772000).

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

85703837546880 is a wasteful number, since it uses less digits than its factorization.

85703837546880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7358 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 85703837546880 in words is "eighty-five trillion, seven hundred three billion, eight hundred thirty-seven million, five hundred forty-six thousand, eight hundred eighty".