10541357400 has 192 divisors, whose sum is σ = 38141844480. Its totient is φ = 2358144000.

The previous prime is 10541357371. The next prime is 10541357417. The reversal of 10541357400 is 475314501.

It is a super-2 number, since 2×10541357400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170700 + ... + 224100.

It is an arithmetic number, because the mean of its divisors is an integer number (198655440).

Almost surely, 2^10541357400 is an apocalyptic number.

10541357400 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 10541357400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19070922240).

10541357400 is an abundant number, since it is smaller than the sum of its proper divisors (27600487080).

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

10541357400 is a wasteful number, since it uses less digits than its factorization.

10541357400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53474 (or 53465 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 10541357400 in words is "ten billion, five hundred forty-one million, three hundred fifty-seven thousand, four hundred".