10154511264 has 192 divisors, whose sum is σ = 28736757504. Its totient is φ = 3128426496.

The previous prime is 10154511233. The next prime is 10154511277. The reversal of 10154511264 is 46211545101.

It is a super-2 number, since 2×10154511264² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32442372 + ... + 32442684.

It is an arithmetic number, because the mean of its divisors is an integer number (149670612).

Almost surely, 2^10154511264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10154511264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368378752).

10154511264 is an abundant number, since it is smaller than the sum of its proper divisors (18582246240).

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

10154511264 is a wasteful number, since it uses less digits than its factorization.

10154511264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 10154511264 in words is "ten billion, one hundred fifty-four million, five hundred eleven thousand, two hundred sixty-four".