13957084050 has 432 divisors, whose sum is σ = 44955872640. Its totient is φ = 2839898880.

The previous prime is 13957084033. The next prime is 13957084067. The reversal of 13957084050 is 5048075931.

It is an interprime number because it is at equal distance from previous prime (13957084033) and next prime (13957084067).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13957083993 and 13957084011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 176671911 + ... + 176671989.

It is an arithmetic number, because the mean of its divisors is an integer number (104064520).

Almost surely, 2^13957084050 is an apocalyptic number.

13957084050 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 13957084050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22477936320).

13957084050 is an abundant number, since it is smaller than the sum of its proper divisors (30998788590).

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

13957084050 is a wasteful number, since it uses less digits than its factorization.

13957084050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 13957084050 in words is "thirteen billion, nine hundred fifty-seven million, eighty-four thousand, fifty".