42453187162560 has 784 divisors, whose sum is σ = 161004617946432. Its totient is φ = 10620348825600.

The previous prime is 42453187162553. The next prime is 42453187162567. The reversal of 42453187162560 is 6526178135424.

42453187162560 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 3 + 1 + 8 + 7 + 1 + 625 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42453187162553) and next prime (42453187162567).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42453187162497 and 42453187162506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42453187162567) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1233334150 + ... + 1233368570.

Almost surely, 2^{42453187162560} is an apocalyptic number.

42453187162560 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 42453187162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80502308973216).

42453187162560 is an abundant number, since it is smaller than the sum of its proper divisors (118551430783872).

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

42453187162560 is a wasteful number, since it uses less digits than its factorization.

42453187162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34784 (or 34759 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 42453187162560 in words is "forty-two trillion, four hundred fifty-three billion, one hundred eighty-seven million, one hundred sixty-two thousand, five hundred sixty".