87562078458240 has 256 divisors, whose sum is σ = 285064264535040. Its totient is φ = 22851337420800.

The previous prime is 87562078458233. The next prime is 87562078458259. The reversal of 87562078458240 is 4285487026578.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1535044120 + ... + 1535101160.

It is an arithmetic number, because the mean of its divisors is an integer number (1113532283340).

Almost surely, 2^{87562078458240} is an apocalyptic number.

87562078458240 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 87562078458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142532132267520).

87562078458240 is an abundant number, since it is smaller than the sum of its proper divisors (197502186076800).

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

87562078458240 is a wasteful number, since it uses less digits than its factorization.

87562078458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74121 (or 74109 counting only the distinct ones).

The product of its (nonzero) digits is 240844800, while the sum is 66.

The spelling of 87562078458240 in words is "eighty-seven trillion, five hundred sixty-two billion, seventy-eight million, four hundred fifty-eight thousand, two hundred forty".