420513565500 has 1728 divisors, whose sum is σ = 1735693360128. Its totient is φ = 88375795200.

The previous prime is 420513565481. The next prime is 420513565541. The reversal of 420513565500 is 5565315024.

420513565500 is a `hidden beast` number, since 4 + 2 + 0 + 51 + 3 + 56 + 550 + 0 = 666.

It is a super-3 number, since 3×420513565500³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5066428459 + ... + 5066428541.

It is an arithmetic number, because the mean of its divisors is an integer number (1004452176).

Almost surely, 2^420513565500 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 420513565500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867846680064).

420513565500 is an abundant number, since it is smaller than the sum of its proper divisors (1315179794628).

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

420513565500 is a wasteful number, since it uses less digits than its factorization.

420513565500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 420513565500 in words is "four hundred twenty billion, five hundred thirteen million, five hundred sixty-five thousand, five hundred".