87980551920 has 640 divisors, whose sum is σ = 325579161600. Its totient is φ = 21797683200.

The previous prime is 87980551909. The next prime is 87980551931. The reversal of 87980551920 is 2915508978.

87980551920 is a `hidden beast` number, since 8 + 7 + 9 + 80 + 551 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87980551909) and next prime (87980551931).

It is a super-2 number, since 2×87980551920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200411061 + ... + 200411499.

It is an arithmetic number, because the mean of its divisors is an integer number (508717440).

Almost surely, 2^87980551920 is an apocalyptic number.

87980551920 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 87980551920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162789580800).

87980551920 is an abundant number, since it is smaller than the sum of its proper divisors (237598609680).

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

87980551920 is a wasteful number, since it uses less digits than its factorization.

87980551920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 87980551920 in words is "eighty-seven billion, nine hundred eighty million, five hundred fifty-one thousand, nine hundred twenty".