19775100540 has 288 divisors, whose sum is σ = 63701568000. Its totient is φ = 4547879424.

The previous prime is 19775100533. The next prime is 19775100571. The reversal of 19775100540 is 4500157791.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 39629211 + ... + 39629709.

It is an arithmetic number, because the mean of its divisors is an integer number (221186000).

Almost surely, 2^19775100540 is an apocalyptic number.

19775100540 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 19775100540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31850784000).

19775100540 is an abundant number, since it is smaller than the sum of its proper divisors (43926467460).

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

19775100540 is a wasteful number, since it uses less digits than its factorization.

19775100540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 39.

The spelling of 19775100540 in words is "nineteen billion, seven hundred seventy-five million, one hundred thousand, five hundred forty".