87838520411520 has 768 divisors, whose sum is σ = 324717686092800. Its totient is φ = 22676207468544.

The previous prime is 87838520411513. The next prime is 87838520411539. The reversal of 87838520411520 is 2511402583878.

It is a happy number.

87838520411520 is a `hidden beast` number, since 8 + 7 + 8 + 3 + 85 + 20 + 4 + 11 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 755613561 + ... + 755729799.

It is an arithmetic number, because the mean of its divisors is an integer number (422809487100).

Almost surely, 2^{87838520411520} is an apocalyptic number.

87838520411520 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 87838520411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162358843046400).

87838520411520 is an abundant number, since it is smaller than the sum of its proper divisors (236879165681280).

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

87838520411520 is a wasteful number, since it uses less digits than its factorization.

87838520411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116429 (or 116405 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 87838520411520 in words is "eighty-seven trillion, eight hundred thirty-eight billion, five hundred twenty million, four hundred eleven thousand, five hundred twenty".