19740525901950 has 192 divisors, whose sum is σ = 57204374400000. Its totient is φ = 4503249555840.

The previous prime is 19740525901939. The next prime is 19740525901969. The reversal of 19740525901950 is 5910952504791.

It is a super-2 number, since 2×19740525901950² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25811151 + ... + 26564949.

It is an arithmetic number, because the mean of its divisors is an integer number (297939450000).

Almost surely, 2^{19740525901950} is an apocalyptic number.

19740525901950 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 19740525901950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28602187200000).

19740525901950 is an abundant number, since it is smaller than the sum of its proper divisors (37463848498050).

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

19740525901950 is a wasteful number, since it uses less digits than its factorization.

19740525901950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754344 (or 754325 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 57.

The spelling of 19740525901950 in words is "nineteen trillion, seven hundred forty billion, five hundred twenty-five million, nine hundred one thousand, nine hundred fifty".