87741704874240 has 288 divisors, whose sum is σ = 311384014704000. Its totient is φ = 23396072693760.

The previous prime is 87741704874233. The next prime is 87741704874281. The reversal of 87741704874240 is 4247840714778.

87741704874240 is a `hidden beast` number, since 8 + 7 + 7 + 4 + 1 + 70 + 487 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 512128111 + ... + 512299409.

It is an arithmetic number, because the mean of its divisors is an integer number (1081194495500).

Almost surely, 2^{87741704874240} is an apocalyptic number.

87741704874240 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 87741704874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155692007352000).

87741704874240 is an abundant number, since it is smaller than the sum of its proper divisors (223642309829760).

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

87741704874240 is a wasteful number, since it uses less digits than its factorization.

87741704874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186150 (or 186130 counting only the distinct ones).

The product of its (nonzero) digits is 78675968, while the sum is 63.

The spelling of 87741704874240 in words is "eighty-seven trillion, seven hundred forty-one billion, seven hundred four million, eight hundred seventy-four thousand, two hundred forty".