1506608087040 has 1904 divisors, whose sum is σ = 6683966693568. Its totient is φ = 317995352064.

The previous prime is 1506608087021. The next prime is 1506608087041. The reversal of 1506608087040 is 407808066051.

It is a happy number.

1506608087040 is a `hidden beast` number, since 1 + 506 + 60 + 8 + 0 + 87 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1904).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506608087041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 28426567654 + ... + 28426567706.

Almost surely, 2^{1506608087040} is an apocalyptic number.

1506608087040 is a gapful number since it is divisible by the number (10) 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 1506608087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341983346784).

1506608087040 is an abundant number, since it is smaller than the sum of its proper divisors (5177358606528).

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

1506608087040 is an frugal number, since it uses more digits than its factorization.

1506608087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1506608087040 in words is "one trillion, five hundred six billion, six hundred eight million, eighty-seven thousand, forty".