100044976711680 has 7680 divisors, whose sum is σ = 521674894540800. Its totient is φ = 17763021619200.

The previous prime is 100044976711621. The next prime is 100044976711739. The reversal of 100044976711680 is 86117679440001.

100044976711680 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 497 + 6 + 71 + 1 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (100044976711621) and next prime (100044976711739).

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 3227257313265 + ... + 3227257313295.

It is an arithmetic number, because the mean of its divisors is an integer number (67926418560).

Almost surely, 2^{100044976711680} is an apocalyptic number.

100044976711680 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 100044976711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260837447270400).

100044976711680 is an abundant number, since it is smaller than the sum of its proper divisors (421629917829120).

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

100044976711680 is a wasteful number, since it uses less digits than its factorization.

100044976711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 100044976711680 in words is "one hundred trillion, forty-four billion, nine hundred seventy-six million, seven hundred eleven thousand, six hundred eighty".