420874856165952 has 784 divisors, whose sum is σ = 1360311909027840. Its totient is φ = 128737926180864.

The previous prime is 420874856165917. The next prime is 420874856165957. The reversal of 420874856165952 is 259561658478024.

It is a happy number.

420874856165952 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 7 + 4 + 8 + 561 + 6 + 5 + 9 + 52 = 666.

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 (420874856165957) 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, 4885726593 + ... + 4885812735.

Almost surely, 2^{420874856165952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420874856165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680155954513920).

420874856165952 is an abundant number, since it is smaller than the sum of its proper divisors (939437052861888).

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

420874856165952 is a wasteful number, since it uses less digits than its factorization.

420874856165952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86382 (or 86357 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 420874856165952 in words is "four hundred twenty trillion, eight hundred seventy-four billion, eight hundred fifty-six million, one hundred sixty-five thousand, nine hundred fifty-two".