11377977052500 has 1200 divisors, whose sum is σ = 40504338212800. Its totient is φ = 2774725632000.

The previous prime is 11377977052441. The next prime is 11377977052501. The reversal of 11377977052500 is 525077977311.

11377977052500 is a `hidden beast` number, since 1 + 13 + 7 + 7 + 9 + 7 + 70 + 52 + 500 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11377977052501) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 16047922146 + ... + 16047922854.

Almost surely, 2^{11377977052500} is an apocalyptic number.

11377977052500 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 11377977052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20252169106400).

11377977052500 is an abundant number, since it is smaller than the sum of its proper divisors (29126361160300).

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

11377977052500 is a wasteful number, since it uses less digits than its factorization.

11377977052500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 3241350, while the sum is 54.

The spelling of 11377977052500 in words is "eleven trillion, three hundred seventy-seven billion, nine hundred seventy-seven million, fifty-two thousand, five hundred".