87898991040 has 672 divisors, whose sum is σ = 356473353600. Its totient is φ = 19869696000.

The previous prime is 87898991029. The next prime is 87898991077. The reversal of 87898991040 is 4019989878.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99771400 + ... + 99772280.

It is an arithmetic number, because the mean of its divisors is an integer number (530466300).

Almost surely, 2^87898991040 is an apocalyptic number.

87898991040 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 87898991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178236676800).

87898991040 is an abundant number, since it is smaller than the sum of its proper divisors (268574362560).

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

87898991040 is a wasteful number, since it uses less digits than its factorization.

87898991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 87898991040 in words is "eighty-seven billion, eight hundred ninety-eight million, nine hundred ninety-one thousand, forty".