87208611840 has 624 divisors, whose sum is σ = 348132964608. Its totient is φ = 19780337664.

The previous prime is 87208611839. The next prime is 87208611901. The reversal of 87208611840 is 4811680278.

87208611840 is a `hidden beast` number, since 8 + 7 + 20 + 8 + 611 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331591549 + ... + 331591811.

It is an arithmetic number, because the mean of its divisors is an integer number (557905392).

Almost surely, 2^87208611840 is an apocalyptic number.

87208611840 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 87208611840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174066482304).

87208611840 is an abundant number, since it is smaller than the sum of its proper divisors (260924352768).

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

87208611840 is a wasteful number, since it uses less digits than its factorization.

87208611840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 87208611840 in words is "eighty-seven billion, two hundred eight million, six hundred eleven thousand, eight hundred forty".