87252839562420 has 768 divisors, whose sum is σ = 340170145136640. Its totient is φ = 18106326835200.

The previous prime is 87252839562347. The next prime is 87252839562463. The reversal of 87252839562420 is 2426593825278.

87252839562420 is a `hidden beast` number, since 8 + 7 + 2 + 5 + 28 + 3 + 9 + 562 + 42 + 0 = 666.

It is a super-2 number, since 2×87252839562420² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 619460242 + ... + 619601078.

It is an arithmetic number, because the mean of its divisors is an integer number (442929876480).

Almost surely, 2^{87252839562420} 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 87252839562420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170085072568320).

87252839562420 is an abundant number, since it is smaller than the sum of its proper divisors (252917305574220).

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

87252839562420 is a wasteful number, since it uses less digits than its factorization.

87252839562420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141221 (or 141213 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 87252839562420 in words is "eighty-seven trillion, two hundred fifty-two billion, eight hundred thirty-nine million, five hundred sixty-two thousand, four hundred twenty".