29628951694020 has 384 divisors, whose sum is σ = 105854360371200. Its totient is φ = 6739776336384.

The previous prime is 29628951694007. The next prime is 29628951694061. The reversal of 29628951694020 is 2049615982692.

29628951694020 is a `hidden beast` number, since 2 + 9 + 6 + 2 + 8 + 9 + 516 + 94 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1578265354 + ... + 1578284126.

It is an arithmetic number, because the mean of its divisors is an integer number (275662396800).

Almost surely, 2^{29628951694020} is an apocalyptic number.

29628951694020 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 29628951694020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52927180185600).

29628951694020 is an abundant number, since it is smaller than the sum of its proper divisors (76225408677180).

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

29628951694020 is a wasteful number, since it uses less digits than its factorization.

29628951694020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20784 (or 20776 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 29628951694020 in words is "twenty-nine trillion, six hundred twenty-eight billion, nine hundred fifty-one million, six hundred ninety-four thousand, twenty".