10020278661120 has 1872 divisors, whose sum is σ = 44931232749312. Its totient is φ = 2045226516480.

The previous prime is 10020278661119. The next prime is 10020278661131. The reversal of 10020278661120 is 2116687202001.

10020278661120 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 2 + 7 + 8 + 6 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3639765664 + ... + 3639768416.

It is an arithmetic number, because the mean of its divisors is an integer number (24001726896).

Almost surely, 2^{10020278661120} is an apocalyptic number.

10020278661120 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 10020278661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22465616374656).

10020278661120 is an abundant number, since it is smaller than the sum of its proper divisors (34910954088192).

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

10020278661120 is a wasteful number, since it uses less digits than its factorization.

10020278661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10020278661120 in words is "ten trillion, twenty billion, two hundred seventy-eight million, six hundred sixty-one thousand, one hundred twenty".