87775488000 has 1152 divisors, whose sum is σ = 351586085760. Its totient is φ = 21764505600.

The previous prime is 87775487993. The next prime is 87775488007. The reversal of 87775488000 is 88457778.

It is an interprime number because it is at equal distance from previous prime (87775487993) and next prime (87775488007).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87775488007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1057535959 + ... + 1057536041.

It is an arithmetic number, because the mean of its divisors is an integer number (305196255).

Almost surely, 2^87775488000 is an apocalyptic number.

87775488000 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 87775488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175793042880).

87775488000 is an abundant number, since it is smaller than the sum of its proper divisors (263810597760).

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

87775488000 is an equidigital number, since it uses as much as digits as its factorization.

87775488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 87775488000 in words is "eighty-seven billion, seven hundred seventy-five million, four hundred eighty-eight thousand".