87381974880 has 384 divisors, whose sum is σ = 314512450560. Its totient is φ = 22645370880.

The previous prime is 87381974821. The next prime is 87381974903. The reversal of 87381974880 is 8847918378.

87381974880 is a `hidden beast` number, since 8 + 73 + 81 + 9 + 7 + 488 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54375037 + ... + 54376643.

It is an arithmetic number, because the mean of its divisors is an integer number (819042840).

Almost surely, 2^87381974880 is an apocalyptic number.

87381974880 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 87381974880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157256225280).

87381974880 is an abundant number, since it is smaller than the sum of its proper divisors (227130475680).

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

87381974880 is a wasteful number, since it uses less digits than its factorization.

87381974880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 87381974880 in words is "eighty-seven billion, three hundred eighty-one million, nine hundred seventy-four thousand, eight hundred eighty".