87207089520 has 320 divisors, whose sum is σ = 284181811200. Its totient is φ = 22096281600.

The previous prime is 87207089471. The next prime is 87207089527. The reversal of 87207089520 is 2598070278.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87207089520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87207089527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107529915 + ... + 107530725.

It is an arithmetic number, because the mean of its divisors is an integer number (888068160).

Almost surely, 2^87207089520 is an apocalyptic number.

87207089520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87207089520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142090905600).

87207089520 is an abundant number, since it is smaller than the sum of its proper divisors (196974721680).

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

87207089520 is a wasteful number, since it uses less digits than its factorization.

87207089520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 87207089520 in words is "eighty-seven billion, two hundred seven million, eighty-nine thousand, five hundred twenty".