10519460969472 has 1320 divisors, whose sum is σ = 39755380400736. Its totient is φ = 2746006437888.

The previous prime is 10519460969399. The next prime is 10519460969491. The reversal of 10519460969472 is 27496906491501.

10519460969472 is a `hidden beast` number, since 1 + 0 + 5 + 19 + 4 + 60 + 96 + 9 + 472 = 666.

It is a super-2 number, since 2×10519460969472² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5442037818 + ... + 5442039750.

Almost surely, 2^{10519460969472} is an apocalyptic number.

10519460969472 is a gapful number since it is divisible by the number (12) 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 10519460969472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19877690200368).

10519460969472 is an abundant number, since it is smaller than the sum of its proper divisors (29235919431264).

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

10519460969472 is a wasteful number, since it uses less digits than its factorization.

10519460969472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 10519460969472 in words is "ten trillion, five hundred nineteen billion, four hundred sixty million, nine hundred sixty-nine thousand, four hundred seventy-two".