19975156740 has 864 divisors, whose sum is σ = 84363793920. Its totient is φ = 3895879680.

The previous prime is 19975156673. The next prime is 19975156753. The reversal of 19975156740 is 4765157991.

19975156740 is a `hidden beast` number, since 1 + 9 + 9 + 75 + 1 + 567 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54428037 + ... + 54428403.

It is an arithmetic number, because the mean of its divisors is an integer number (97643280).

Almost surely, 2^19975156740 is an apocalyptic number.

19975156740 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 19975156740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42181896960).

19975156740 is an abundant number, since it is smaller than the sum of its proper divisors (64388637180).

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

19975156740 is a wasteful number, since it uses less digits than its factorization.

19975156740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

It can be divided in two parts, 19975 and 156740, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 19975156740 in words is "nineteen billion, nine hundred seventy-five million, one hundred fifty-six thousand, seven hundred forty".