87700491840 has 448 divisors, whose sum is σ = 316691101440. Its totient is φ = 20384317440.

The previous prime is 87700491797. The next prime is 87700491847. The reversal of 87700491840 is 4819400778.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87700491840.

It is not an unprimeable number, because it can be changed into a prime (87700491847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136817920 + ... + 136818560.

It is an arithmetic number, because the mean of its divisors is an integer number (706899780).

Almost surely, 2^87700491840 is an apocalyptic number.

87700491840 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 87700491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158345550720).

87700491840 is an abundant number, since it is smaller than the sum of its proper divisors (228990609600).

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

87700491840 is a wasteful number, since it uses less digits than its factorization.

87700491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 87700491840 in words is "eighty-seven billion, seven hundred million, four hundred ninety-one thousand, eight hundred forty".