10723217400 has 240 divisors, whose sum is σ = 42564247440. Its totient is φ = 2450995200.

The previous prime is 10723217387. The next prime is 10723217423. The reversal of 10723217400 is 471232701.

It is a happy number.

10723217400 is a `hidden beast` number, since 10 + 7 + 232 + 17 + 400 = 666.

It is a super-2 number, since 2×10723217400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 66120 + ... + 160680.

It is an arithmetic number, because the mean of its divisors is an integer number (177351031).

Almost surely, 2^10723217400 is an apocalyptic number.

10723217400 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 10723217400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21282123720).

10723217400 is an abundant number, since it is smaller than the sum of its proper divisors (31841030040).

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

10723217400 is a wasteful number, since it uses less digits than its factorization.

10723217400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94596 (or 94578 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 10723217400 in words is "ten billion, seven hundred twenty-three million, two hundred seventeen thousand, four hundred".