10710912920400 has 2160 divisors, whose sum is σ = 50772094895808. Its totient is φ = 2059997184000.

The previous prime is 10710912920399. The next prime is 10710912920443. The reversal of 10710912920400 is 402921901701.

10710912920400 is a `hidden beast` number, since 1 + 0 + 7 + 109 + 129 + 20 + 400 = 666.

10710912920400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10710912920400² (a number of 27 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 2012192139 + ... + 2012197461.

Almost surely, 2^{10710912920400} is an apocalyptic number.

10710912920400 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 10710912920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25386047447904).

10710912920400 is an abundant number, since it is smaller than the sum of its proper divisors (40061181975408).

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

10710912920400 is a wasteful number, since it uses less digits than its factorization.

10710912920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 10710912920400 in words is "ten trillion, seven hundred ten billion, nine hundred twelve million, nine hundred twenty thousand, four hundred".