87813511989480 has 192 divisors, whose sum is σ = 300429107784000. Its totient is φ = 22183398263808.

The previous prime is 87813511989439. The next prime is 87813511989521. The reversal of 87813511989480 is 8498911531878.

87813511989480 is a `hidden beast` number, since 8 + 7 + 8 + 1 + 3 + 51 + 1 + 98 + 9 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (87813511989439) and next prime (87813511989521).

It is a super-2 number, since 2×87813511989480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 87813511989399 and 87813511989408.

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, 146919076 + ... + 147515564.

It is an arithmetic number, because the mean of its divisors is an integer number (1564734936375).

Almost surely, 2^{87813511989480} 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 87813511989480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150214553892000).

87813511989480 is an abundant number, since it is smaller than the sum of its proper divisors (212615595794520).

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

87813511989480 is a wasteful number, since it uses less digits than its factorization.

87813511989480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618048 (or 618041 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 72.

The spelling of 87813511989480 in words is "eighty-seven trillion, eight hundred thirteen billion, five hundred eleven million, nine hundred eighty-nine thousand, four hundred eighty".