19854117073950 has 192 divisors, whose sum is σ = 50485740134400. Its totient is φ = 5161225789440.

The previous prime is 19854117073949. The next prime is 19854117073951. The reversal of 19854117073950 is 5937071145891.

It is an interprime number because it is at equal distance from previous prime (19854117073949) and next prime (19854117073951).

It is a super-2 number, since 2×19854117073950² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19854117073951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1921422984 + ... + 1921433316.

It is an arithmetic number, because the mean of its divisors is an integer number (262946563200).

Almost surely, 2^{19854117073950} is an apocalyptic number.

19854117073950 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 19854117073950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25242870067200).

19854117073950 is an abundant number, since it is smaller than the sum of its proper divisors (30631623060450).

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

19854117073950 is a wasteful number, since it uses less digits than its factorization.

19854117073950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11451 (or 11446 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 60.

The spelling of 19854117073950 in words is "nineteen trillion, eight hundred fifty-four billion, one hundred seventeen million, seventy-three thousand, nine hundred fifty".