47153498400 has 432 divisors, whose sum is σ = 176623960968. Its totient is φ = 11796480000.

The previous prime is 47153498363. The next prime is 47153498419. The reversal of 47153498400 is 489435174.

47153498400 is a `hidden beast` number, since 4 + 7 + 153 + 4 + 98 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 25200927504 + 21952570896 = 158748^2 + 148164^2 .

It is a super-2 number, since 2×47153498400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73562080 + ... + 73562720.

Almost surely, 2^47153498400 is an apocalyptic number.

47153498400 is a gapful number since it is divisible by the number (40) 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 47153498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88311980484).

47153498400 is an abundant number, since it is smaller than the sum of its proper divisors (129470462568).

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

47153498400 is a wasteful number, since it uses less digits than its factorization.

47153498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 47153498400 in words is "forty-seven billion, one hundred fifty-three million, four hundred ninety-eight thousand, four hundred".