85903188396480 has 5376 divisors, whose sum is σ = 412156860825600. Its totient is φ = 16639324176384.

The previous prime is 85903188396449. The next prime is 85903188396481. The reversal of 85903188396480 is 8469388130958.

85903188396480 is a `hidden beast` number, since 8 + 5 + 9 + 0 + 31 + 88 + 39 + 6 + 480 = 666.

It is a super-2 number, since 2×85903188396480² (a number of 29 digits) contains 22 as substring.

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 = 85903188396399 and 85903188396408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85903188396481) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 676403058177 + ... + 676403058303.

Almost surely, 2^{85903188396480} is an apocalyptic number.

85903188396480 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 85903188396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206078430412800).

85903188396480 is an abundant number, since it is smaller than the sum of its proper divisors (326253672429120).

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

85903188396480 is a wasteful number, since it uses less digits than its factorization.

85903188396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 85903188396480 in words is "eighty-five trillion, nine hundred three billion, one hundred eighty-eight million, three hundred ninety-six thousand, four hundred eighty".