10757316321900 has 432 divisors, whose sum is σ = 35821384784640. Its totient is φ = 2694357388800.

The previous prime is 10757316321889. The next prime is 10757316321911. The reversal of 10757316321900 is 912361375701.

10757316321900 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 7 + 3 + 1 + 632 + 1 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10757316321889) and next prime (10757316321911).

It is a super-2 number, since 2×10757316321900² (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 143 ways as a sum of consecutive naturals, for example, 781604419 + ... + 781618181.

Almost surely, 2^{10757316321900} is an apocalyptic number.

10757316321900 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 10757316321900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17910692392320).

10757316321900 is an abundant number, since it is smaller than the sum of its proper divisors (25064068462740).

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

10757316321900 is a wasteful number, since it uses less digits than its factorization.

10757316321900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14486 (or 14476 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 10757316321900 in words is "ten trillion, seven hundred fifty-seven billion, three hundred sixteen million, three hundred twenty-one thousand, nine hundred".