87155777280 has 864 divisors, whose sum is σ = 337601037312. Its totient is φ = 19026247680.

The previous prime is 87155777251. The next prime is 87155777323. The reversal of 87155777280 is 8277755178.

It is a happy number.

It is a super-2 number, since 2×87155777280² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87155777280.

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, 283894887 + ... + 283895193.

Almost surely, 2^87155777280 is an apocalyptic number.

87155777280 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 87155777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168800518656).

87155777280 is an abundant number, since it is smaller than the sum of its proper divisors (250445260032).

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

87155777280 is a wasteful number, since it uses less digits than its factorization.

87155777280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 7683200, while the sum is 57.

The spelling of 87155777280 in words is "eighty-seven billion, one hundred fifty-five million, seven hundred seventy-seven thousand, two hundred eighty".