19745628000 has 288 divisors, whose sum is σ = 75250008288. Its totient is φ = 4513152000.

The previous prime is 19745627989. The next prime is 19745628017. The reversal of 19745628000 is 82654791.

It is a super-2 number, since 2×19745628000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571210 + ... + 604790.

It is an arithmetic number, because the mean of its divisors is an integer number (261284751).

Almost surely, 2^19745628000 is an apocalyptic number.

19745628000 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 19745628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37625004144).

19745628000 is an abundant number, since it is smaller than the sum of its proper divisors (55504380288).

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

19745628000 is a wasteful number, since it uses less digits than its factorization.

19745628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33623 (or 33598 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

It can be divided in two parts, 197456 and 28000, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 19745628000 in words is "nineteen billion, seven hundred forty-five million, six hundred twenty-eight thousand".