420899253078528 has 180 divisors, whose sum is σ = 1413069252553530. Its totient is φ = 120256929386496.

The previous prime is 420899253078527. The next prime is 420899253078539. The reversal of 420899253078528 is 825870352998024.

It is a happy number.

420899253078528 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 9 + 9 + 2 + 530 + 7 + 85 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 223331265609984 + 197567987468544 = 14944272^2 + 14055888^2 .

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

It is not an unprimeable number, because it can be changed into a prime (420899253078527) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 931825063 + ... + 932276646.

Almost surely, 2^{420899253078528} is an apocalyptic number.

420899253078528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420899253078528 is an abundant number, since it is smaller than the sum of its proper divisors (992169999475002).

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

420899253078528 is a wasteful number, since it uses less digits than its factorization.

420899253078528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864101747 (or 1864101721 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 420899253078528 in words is "four hundred twenty trillion, eight hundred ninety-nine billion, two hundred fifty-three million, seventy-eight thousand, five hundred twenty-eight".