1087681637504 has 128 divisors (see below), whose sum is σ = 2704826044800. Its totient is φ = 423257702400.

The previous prime is 1087681637503. The next prime is 1087681637533. The reversal of 1087681637504 is 4057361867801.

1087681637504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1087681637504³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1087681637504.

It is not an unprimeable number, because it can be changed into a prime (1087681637503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8104064 + ... + 8237184.

It is an arithmetic number, because the mean of its divisors is an integer number (21131453475).

Almost surely, 2^{1087681637504} is an apocalyptic number.

1087681637504 is a gapful number since it is divisible by the number (14) 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 1087681637504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352413022400).

1087681637504 is an abundant number, since it is smaller than the sum of its proper divisors (1617144407296).

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

1087681637504 is a wasteful number, since it uses less digits than its factorization.

1087681637504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133982 (or 133970 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 1087681637504 in words is "one trillion, eighty-seven billion, six hundred eighty-one million, six hundred thirty-seven thousand, five hundred four".