29513484000 has 2160 divisors, whose sum is σ = 148853040336. Its totient is φ = 5660928000.

The previous prime is 29513483969. The next prime is 29513484023. The reversal of 29513484000 is 48431592.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×29513484000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2270267994 + ... + 2270268006.

Almost surely, 2^29513484000 is an apocalyptic number.

29513484000 is a gapful number since it is divisible by the number (20) 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 29513484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74426520168).

29513484000 is an abundant number, since it is smaller than the sum of its proper divisors (119339556336).

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

29513484000 is a wasteful number, since it uses less digits than its factorization.

29513484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 29513484000 in words is "twenty-nine billion, five hundred thirteen million, four hundred eighty-four thousand".