427187735520 has 288 divisors, whose sum is σ = 1665276060672. Its totient is φ = 90131798016.

The previous prime is 427187735503. The next prime is 427187735563. The reversal of 427187735520 is 25537781724.

It is a super-2 number, since 2×427187735520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191689 + ... + 943991.

It is an arithmetic number, because the mean of its divisors is an integer number (5782208544).

Almost surely, 2^427187735520 is an apocalyptic number.

427187735520 is a gapful number since it is divisible by the number (40) 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 427187735520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832638030336).

427187735520 is an abundant number, since it is smaller than the sum of its proper divisors (1238088325152).

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

427187735520 is a wasteful number, since it uses less digits than its factorization.

427187735520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752354 (or 752333 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The spelling of 427187735520 in words is "four hundred twenty-seven billion, one hundred eighty-seven million, seven hundred thirty-five thousand, five hundred twenty".