87026716707840 has 2816 divisors, whose sum is σ = 391519818547200. Its totient is φ = 17845004795904.

The previous prime is 87026716707811. The next prime is 87026716707871. The reversal of 87026716707840 is 4870761762078.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 66585092467 + ... + 66585093773.

Almost surely, 2^{87026716707840} is an apocalyptic number.

87026716707840 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 87026716707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195759909273600).

87026716707840 is an abundant number, since it is smaller than the sum of its proper divisors (304493101839360).

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

87026716707840 is a wasteful number, since it uses less digits than its factorization.

87026716707840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 87026716707840 in words is "eighty-seven trillion, twenty-six billion, seven hundred sixteen million, seven hundred seven thousand, eight hundred forty".