13975263461250 has 1920 divisors, whose sum is σ = 51064684070400. Its totient is φ = 2678427648000.

The previous prime is 13975263461239. The next prime is 13975263461251. The reversal of 13975263461250 is 5216436257931.

13975263461250 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 526 + 3 + 4 + 61 + 2 + 50 = 666.

It is a super-2 number, since 2×13975263461250² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13975263461251) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 100541463681 + ... + 100541463819.

It is an arithmetic number, because the mean of its divisors is an integer number (26596189620).

Almost surely, 2^{13975263461250} is an apocalyptic number.

13975263461250 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 13975263461250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25532342035200).

13975263461250 is an abundant number, since it is smaller than the sum of its proper divisors (37089420609150).

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

13975263461250 is a wasteful number, since it uses less digits than its factorization.

13975263461250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 13975263461250 in words is "thirteen trillion, nine hundred seventy-five billion, two hundred sixty-three million, four hundred sixty-one thousand, two hundred fifty".