87405778775952 has 480 divisors, whose sum is σ = 320653168605952. Its totient is φ = 22429041149952.

The previous prime is 87405778775929. The next prime is 87405778775971. The reversal of 87405778775952 is 25957787750478.

87405778775952 is a `hidden beast` number, since 87 + 405 + 7 + 7 + 87 + 7 + 5 + 9 + 52 = 666.

It is a super-2 number, since 2×87405778775952² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9752478 + ... + 16429314.

Almost surely, 2^{87405778775952} 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 87405778775952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160326584302976).

87405778775952 is an abundant number, since it is smaller than the sum of its proper divisors (233247389830000).

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

87405778775952 is a wasteful number, since it uses less digits than its factorization.

87405778775952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6676917 (or 6676899 counting only the distinct ones).

The product of its (nonzero) digits is 9680832000, while the sum is 81.

The spelling of 87405778775952 in words is "eighty-seven trillion, four hundred five billion, seven hundred seventy-eight million, seven hundred seventy-five thousand, nine hundred fifty-two".