10708733952000 has 3072 divisors, whose sum is σ = 48228559142400. Its totient is φ = 2318716108800.

The previous prime is 10708733951963. The next prime is 10708733952071. The reversal of 10708733952000 is 25933780701.

It is a happy number.

10708733952000 is a `hidden beast` number, since 10 + 7 + 0 + 87 + 3 + 39 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×10708733952000² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 202051583974 + ... + 202051584026.

Almost surely, 2^{10708733952000} is an apocalyptic number.

10708733952000 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 10708733952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24114279571200).

10708733952000 is an abundant number, since it is smaller than the sum of its proper divisors (37519825190400).

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

10708733952000 is an frugal number, since it uses more digits than its factorization.

10708733952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 10708733952000 in words is "ten trillion, seven hundred eight billion, seven hundred thirty-three million, nine hundred fifty-two thousand".