538977995136 has 256 divisors, whose sum is σ = 1820355648000. Its totient is φ = 153792608256.

The previous prime is 538977995089. The next prime is 538977995147. The reversal of 538977995136 is 631599779835.

538977995136 is a `hidden beast` number, since 5 + 38 + 9 + 7 + 79 + 9 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19024950 + ... + 19053258.

It is an arithmetic number, because the mean of its divisors is an integer number (7110764250).

Almost surely, 2^538977995136 is an apocalyptic number.

538977995136 is a gapful number since it is divisible by the number (56) 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 538977995136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910177824000).

538977995136 is an abundant number, since it is smaller than the sum of its proper divisors (1281377652864).

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

538977995136 is a wasteful number, since it uses less digits than its factorization.

538977995136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29126 (or 29108 counting only the distinct ones).

The product of its digits is 385786800, while the sum is 72.

The spelling of 538977995136 in words is "five hundred thirty-eight billion, nine hundred seventy-seven million, nine hundred ninety-five thousand, one hundred thirty-six".