15011146920000 has 1120 divisors, whose sum is σ = 63317476721664. Its totient is φ = 3046579200000.

The previous prime is 15011146919987. The next prime is 15011146920013. The reversal of 15011146920000 is 2964111051.

It is an interprime number because it is at equal distance from previous prime (15011146919987) and next prime (15011146920013).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 15011146920000.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 397301110 + ... + 397338890.

Almost surely, 2^{15011146920000} is an apocalyptic number.

15011146920000 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 15011146920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31658738360832).

15011146920000 is an abundant number, since it is smaller than the sum of its proper divisors (48306329801664).

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

15011146920000 is a wasteful number, since it uses less digits than its factorization.

15011146920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37877 (or 37852 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 15011146920000 in words is "fifteen trillion, eleven billion, one hundred forty-six million, nine hundred twenty thousand".