87787149262848 has 2448 divisors, whose sum is σ = 334167380951040. Its totient is φ = 22875026227200.

The previous prime is 87787149262837. The next prime is 87787149262859. The reversal of 87787149262848 is 84826294178778.

87787149262848 is a `hidden beast` number, since 8 + 7 + 7 + 87 + 1 + 492 + 6 + 2 + 8 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (87787149262837) and next prime (87787149262859).

It is a super-2 number, since 2×87787149262848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 459618582433 + ... + 459618582623.

Almost surely, 2^{87787149262848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87787149262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167083690475520).

87787149262848 is an abundant number, since it is smaller than the sum of its proper divisors (246380231688192).

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

87787149262848 is an equidigital number, since it uses as much as digits as its factorization.

87787149262848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 253 counting only the distinct ones).

The product of its digits is 4855431168, while the sum is 81.

The spelling of 87787149262848 in words is "eighty-seven trillion, seven hundred eighty-seven billion, one hundred forty-nine million, two hundred sixty-two thousand, eight hundred forty-eight".