10753027084800 has 3600 divisors, whose sum is σ = 53795743227072. Its totient is φ = 2059930828800.

The previous prime is 10753027084769. The next prime is 10753027084819. The reversal of 10753027084800 is 848072035701.

10753027084800 is a `hidden beast` number, since 1 + 0 + 7 + 530 + 2 + 70 + 8 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 13491878002 + ... + 13491878798.

Almost surely, 2^{10753027084800} is an apocalyptic number.

10753027084800 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 10753027084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26897871613536).

10753027084800 is an abundant number, since it is smaller than the sum of its proper divisors (43042716142272).

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

10753027084800 is a wasteful number, since it uses less digits than its factorization.

10753027084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10753027084800 in words is "ten trillion, seven hundred fifty-three billion, twenty-seven million, eighty-four thousand, eight hundred".