10514201400 has 72 divisors (see below), whose sum is σ = 35310199080. Its totient is φ = 2803786560.

The previous prime is 10514201387. The next prime is 10514201419. The reversal of 10514201400 is 410241501.

10514201400 is a `hidden beast` number, since 10 + 51 + 4 + 201 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10514201400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2918812 + ... + 2922411.

Almost surely, 2^10514201400 is an apocalyptic number.

10514201400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10514201400 is an abundant number, since it is smaller than the sum of its proper divisors (24795997680).

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

10514201400 is a wasteful number, since it uses less digits than its factorization.

10514201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841245 (or 5841233 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10514201400 its reverse (410241501), we get a palindrome (10924442901).

The spelling of 10514201400 in words is "ten billion, five hundred fourteen million, two hundred one thousand, four hundred".