21129477741900 has 1728 divisors, whose sum is σ = 80571339104256. Its totient is φ = 4751695872000.

The previous prime is 21129477741881. The next prime is 21129477741947. The reversal of 21129477741900 is 914777492112.

21129477741900 is a `hidden beast` number, since 2 + 1 + 12 + 9 + 477 + 74 + 1 + 90 + 0 = 666.

It is a super-2 number, since 2×21129477741900² (a number of 27 digits) contains 22 as substring.

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 575 ways as a sum of consecutive naturals, for example, 67940442745 + ... + 67940443055.

It is an arithmetic number, because the mean of its divisors is an integer number (46626932352).

Almost surely, 2^{21129477741900} is an apocalyptic number.

21129477741900 is a gapful number since it is divisible by the number (20) 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 21129477741900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40285669552128).

21129477741900 is an abundant number, since it is smaller than the sum of its proper divisors (59441861362356).

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

21129477741900 is a wasteful number, since it uses less digits than its factorization.

21129477741900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 21129477741900 in words is "twenty-one trillion, one hundred twenty-nine billion, four hundred seventy-seven million, seven hundred forty-one thousand, nine hundred".