19648261157700 has 1152 divisors, whose sum is σ = 73557692006400. Its totient is φ = 3941498880000.

The previous prime is 19648261157671. The next prime is 19648261157713. The reversal of 19648261157700 is 775116284691.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16359917100 + ... + 16359918300.

It is an arithmetic number, because the mean of its divisors is an integer number (63852163200).

Almost surely, 2^{19648261157700} is an apocalyptic number.

19648261157700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19648261157700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36778846003200).

19648261157700 is an abundant number, since it is smaller than the sum of its proper divisors (53909430848700).

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

19648261157700 is a wasteful number, since it uses less digits than its factorization.

19648261157700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 19648261157700 in words is "nineteen trillion, six hundred forty-eight billion, two hundred sixty-one million, one hundred fifty-seven thousand, seven hundred".