13275501251040 has 3840 divisors, whose sum is σ = 61473497702400. Its totient is φ = 2662900531200.

The previous prime is 13275501250997. The next prime is 13275501251099. The reversal of 13275501251040 is 4015210557231.

13275501251040 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 550 + 12 + 51 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13275501250986 and 13275501251004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 250481155654 + ... + 250481155706.

It is an arithmetic number, because the mean of its divisors is an integer number (16008723360).

Almost surely, 2^{13275501251040} is an apocalyptic number.

13275501251040 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 13275501251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30736748851200).

13275501251040 is an abundant number, since it is smaller than the sum of its proper divisors (48197996451360).

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

13275501251040 is a wasteful number, since it uses less digits than its factorization.

13275501251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 13275501251040 in words is "thirteen trillion, two hundred seventy-five billion, five hundred one million, two hundred fifty-one thousand, forty".