87051490911000 has 1536 divisors, whose sum is σ = 391870866816000. Its totient is φ = 17667828864000.

The previous prime is 87051490910933. The next prime is 87051490911017. The reversal of 87051490911000 is 11909415078.

It is a happy number.

87051490911000 is a `hidden beast` number, since 8 + 7 + 0 + 51 + 490 + 9 + 1 + 100 + 0 = 666.

It is a super-3 number, since 3×87051490911000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 625709446 + ... + 625848554.

It is an arithmetic number, because the mean of its divisors is an integer number (255124262250).

Almost surely, 2^{87051490911000} 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 87051490911000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195935433408000).

87051490911000 is an abundant number, since it is smaller than the sum of its proper divisors (304819375905000).

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

87051490911000 is a wasteful number, since it uses less digits than its factorization.

87051490911000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139207 (or 139180 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 87051490911000 in words is "eighty-seven trillion, fifty-one billion, four hundred ninety million, nine hundred eleven thousand".