87754933440 has 280 divisors, whose sum is σ = 313018413840. Its totient is φ = 23336957952.

The previous prime is 87754933417. The next prime is 87754933459. The reversal of 87754933440 is 4433945778.

87754933440 is a `hidden beast` number, since 87 + 7 + 5 + 493 + 34 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9819214 + ... + 9828146.

Almost surely, 2^87754933440 is an apocalyptic number.

87754933440 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 87754933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156509206920).

87754933440 is an abundant number, since it is smaller than the sum of its proper divisors (225263480400).

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

87754933440 is a wasteful number, since it uses less digits than its factorization.

87754933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9341 (or 9322 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 87754933440 in words is "eighty-seven billion, seven hundred fifty-four million, nine hundred thirty-three thousand, four hundred forty".