87334769556240 has 320 divisors, whose sum is σ = 277848666547200. Its totient is φ = 22679703961600.

The previous prime is 87334769556233. The next prime is 87334769556259. The reversal of 87334769556240 is 4265596743378.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15824380201 + ... + 15824385719.

It is an arithmetic number, because the mean of its divisors is an integer number (868277082960).

Almost surely, 2^{87334769556240} is an apocalyptic number.

87334769556240 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 87334769556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138924333273600).

87334769556240 is an abundant number, since it is smaller than the sum of its proper divisors (190513896990960).

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

87334769556240 is a wasteful number, since it uses less digits than its factorization.

87334769556240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8226 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 69.

The spelling of 87334769556240 in words is "eighty-seven trillion, three hundred thirty-four billion, seven hundred sixty-nine million, five hundred fifty-six thousand, two hundred forty".