19152645836940 has 1344 divisors, whose sum is σ = 77383678095360. Its totient is φ = 3864236544000.

The previous prime is 19152645836903. The next prime is 19152645836941. The reversal of 19152645836940 is 4963854625191.

19152645836940 is a `hidden beast` number, since 1 + 9 + 1 + 5 + 2 + 6 + 4 + 583 + 6 + 9 + 40 = 666.

It is a super-2 number, since 2×19152645836940² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (19152645836941) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 11000944470 + ... + 11000946210.

It is an arithmetic number, because the mean of its divisors is an integer number (57577141440).

Almost surely, 2^{19152645836940} is an apocalyptic number.

19152645836940 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 19152645836940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38691839047680).

19152645836940 is an abundant number, since it is smaller than the sum of its proper divisors (58231032258420).

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

19152645836940 is a wasteful number, since it uses less digits than its factorization.

19152645836940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 19152645836940 in words is "nineteen trillion, one hundred fifty-two billion, six hundred forty-five million, eight hundred thirty-six thousand, nine hundred forty".