810427420152 has 192 divisors, whose sum is σ = 2602460689920. Its totient is φ = 231453790848.

The previous prime is 810427420133. The next prime is 810427420177. The reversal of 810427420152 is 251024724018.

810427420152 is a `hidden beast` number, since 81 + 0 + 4 + 2 + 7 + 420 + 152 = 666.

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 47 ways as a sum of consecutive naturals, for example, 36417493 + ... + 36439739.

It is an arithmetic number, because the mean of its divisors is an integer number (13554482760).

Almost surely, 2^810427420152 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 810427420152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301230344960).

810427420152 is an abundant number, since it is smaller than the sum of its proper divisors (1792033269768).

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

810427420152 is a wasteful number, since it uses less digits than its factorization.

810427420152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24952 (or 24936 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 810427420152 in words is "eight hundred ten billion, four hundred twenty-seven million, four hundred twenty thousand, one hundred fifty-two".