87368583484000 has 288 divisors, whose sum is σ = 268920507806496. Its totient is φ = 27650715724800.

The previous prime is 87368583483991. The next prime is 87368583484009. The reversal of 87368583484000 is 48438586378.

It is an interprime number because it is at equal distance from previous prime (87368583483991) and next prime (87368583484009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87368583484009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14596542 + ... + 19692541.

It is an arithmetic number, because the mean of its divisors is an integer number (933751763217).

Almost surely, 2^{87368583484000} is an apocalyptic number.

87368583484000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87368583484000 is an abundant number, since it is smaller than the sum of its proper divisors (181551924322496).

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

87368583484000 is a wasteful number, since it uses less digits than its factorization.

87368583484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34289135 (or 34289110 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 64.

The spelling of 87368583484000 in words is "eighty-seven trillion, three hundred sixty-eight billion, five hundred eighty-three million, four hundred eighty-four thousand".