1506082400010 has 256 divisors, whose sum is σ = 4204091635200. Its totient is φ = 383288371200.

The previous prime is 1506082399963. The next prime is 1506082400023. The reversal of 1506082400010 is 100042806051.

1506082400010 is a `hidden beast` number, since 1 + 5 + 0 + 608 + 2 + 40 + 0 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 230955550 + ... + 230962070.

It is an arithmetic number, because the mean of its divisors is an integer number (16422232950).

Almost surely, 2^{1506082400010} is an apocalyptic number.

1506082400010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506082400010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102045817600).

1506082400010 is an abundant number, since it is smaller than the sum of its proper divisors (2698009235190).

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

1506082400010 is a wasteful number, since it uses less digits than its factorization.

1506082400010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 1506082400010 in words is "one trillion, five hundred six billion, eighty-two million, four hundred thousand, ten".