87180226698240 has 1760 divisors, whose sum is σ = 346704653655360. Its totient is φ = 20811114086400.

The previous prime is 87180226698133. The next prime is 87180226698347. The reversal of 87180226698240 is 4289662208178.

87180226698240 is a `hidden beast` number, since 8 + 7 + 1 + 80 + 226 + 6 + 98 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (87180226698133) and next prime (87180226698347).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40009281471 + ... + 40009283649.

It is an arithmetic number, because the mean of its divisors is an integer number (196991280486).

Almost surely, 2^{87180226698240} is an apocalyptic number.

87180226698240 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 87180226698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173352326827680).

87180226698240 is an abundant number, since it is smaller than the sum of its proper divisors (259524426957120).

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

87180226698240 is a wasteful number, since it uses less digits than its factorization.

87180226698240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 87180226698240 in words is "eighty-seven trillion, one hundred eighty billion, two hundred twenty-six million, six hundred ninety-eight thousand, two hundred forty".