19829661457632 has 48 divisors (see below), whose sum is σ = 56056927585680. Its totient is φ = 6101434294272.

The previous prime is 19829661457583. The next prime is 19829661457649. The reversal of 19829661457632 is 23675416692891.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7944574657 + ... + 7944577152.

It is an arithmetic number, because the mean of its divisors is an integer number (1167852658035).

Almost surely, 2^{19829661457632} is an apocalyptic number.

19829661457632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19829661457632 is an abundant number, since it is smaller than the sum of its proper divisors (36227266128048).

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

19829661457632 is a wasteful number, since it uses less digits than its factorization.

19829661457632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15889151835 (or 15889151827 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 69.

The spelling of 19829661457632 in words is "nineteen trillion, eight hundred twenty-nine billion, six hundred sixty-one million, four hundred fifty-seven thousand, six hundred thirty-two".