19405117958952 has 128 divisors (see below), whose sum is σ = 55730695680000. Its totient is φ = 5573069187840.

The previous prime is 19405117958857. The next prime is 19405117958971. The reversal of 19405117958952 is 25985971150491.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13997952 + ... + 15321647.

It is an arithmetic number, because the mean of its divisors is an integer number (435396060000).

Almost surely, 2^{19405117958952} is an apocalyptic number.

19405117958952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19405117958952 is an abundant number, since it is smaller than the sum of its proper divisors (36325577721048).

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

19405117958952 is a wasteful number, since it uses less digits than its factorization.

19405117958952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29319751 (or 29319747 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 66.

The spelling of 19405117958952 in words is "nineteen trillion, four hundred five billion, one hundred seventeen million, nine hundred fifty-eight thousand, nine hundred fifty-two".