1015904120000 has 560 divisors, whose sum is σ = 3151766112000. Its totient is φ = 315532800000.

The previous prime is 1015904119897. The next prime is 1015904120009. The reversal of 1015904120000 is 214095101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×1015904120000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1015904120009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1536919670 + ... + 1536920330.

Almost surely, 2^{1015904120000} is an apocalyptic number.

1015904120000 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 1015904120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575883056000).

1015904120000 is an abundant number, since it is smaller than the sum of its proper divisors (2135861992000).

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

1015904120000 is an equidigital number, since it uses as much as digits as its factorization.

1015904120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The spelling of 1015904120000 in words is "one trillion, fifteen billion, nine hundred four million, one hundred twenty thousand".