1538157768100 has 36 divisors (see below), whose sum is σ = 3482924203584. Its totient is φ = 588512536480.

The previous prime is 1538157768083. The next prime is 1538157768101. The reversal of 1538157768100 is 18677518351.

It is a super-2 number, since 2×1538157768100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1538157768101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334379824 + ... + 334384423.

It is an arithmetic number, because the mean of its divisors is an integer number (96747894544).

Almost surely, 2^{1538157768100} is an apocalyptic number.

1538157768100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1538157768100 is an abundant number, since it is smaller than the sum of its proper divisors (1944766435484).

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

1538157768100 is a wasteful number, since it uses less digits than its factorization.

1538157768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668764284 (or 668764277 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 52.

The spelling of 1538157768100 in words is "one trillion, five hundred thirty-eight billion, one hundred fifty-seven million, seven hundred sixty-eight thousand, one hundred".