10054692000 has 240 divisors, whose sum is σ = 36905260392. Its totient is φ = 2681164800.

The previous prime is 10054691923. The next prime is 10054692017. The reversal of 10054692000 is 29645001.

It can be written as a sum of positive squares in 4 ways, for example, as 3776348304 + 6278343696 = 61452^2 + 79236^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308484 + ... + 339516.

Almost surely, 2^10054692000 is an apocalyptic number.

10054692000 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 10054692000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18452630196).

10054692000 is an abundant number, since it is smaller than the sum of its proper divisors (26850568392).

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

10054692000 is an equidigital number, since it uses as much as digits as its factorization.

10054692000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31070 (or 31043 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10054692000 in words is "ten billion, fifty-four million, six hundred ninety-two thousand".